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Finding the Fourth Proportional to 7,547,584, 11,371,789.96 and 6,828,847.06

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Solution

The fourth proportional to 7,547,584, 11,371,789.96 and 6,828,847.06 is: 10,288,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547,584 : 11,371,789.96 = 6,828,847.06 : x
  2. Step 2: Convert to fraction form
    7,547,584/11,371,789.96 = 6,828,847.06/x
  3. Step 3: Cross multiply
    7,547,584x = 11,371,789.96 × 6,828,847.06
  4. Step 4: Simplify right side
    7,547,584x = 77,656,214,435,283.52
  5. Step 5: Solve for x
    x = 77,656,214,435,283.52/7,547,584
  6. Step 6: Final answer
    x = 10,288,883.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.