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Finding the Fourth Proportional to 8,273.75, 11,417.96 and 4,547.75

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Solution

The fourth proportional to 8,273.75, 11,417.96 and 4,547.75 is: 6,275.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.75 : 11,417.96 = 4,547.75 : x
  2. Step 2: Convert to fraction form
    8,273.75/11,417.96 = 4,547.75/x
  3. Step 3: Cross multiply
    8,273.75x = 11,417.96 × 4,547.75
  4. Step 4: Simplify right side
    8,273.75x = 51,926,004.85
  5. Step 5: Solve for x
    x = 51,926,004.85/8,273.75
  6. Step 6: Final answer
    x = 6,275.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.