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Finding the Fourth Proportional to 6,854.43, 10,282.15 and 6,038.35

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Solution

The fourth proportional to 6,854.43, 10,282.15 and 6,038.35 is: 9,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.43 : 10,282.15 = 6,038.35 : x
  2. Step 2: Convert to fraction form
    6,854.43/10,282.15 = 6,038.35/x
  3. Step 3: Cross multiply
    6,854.43x = 10,282.15 × 6,038.35
  4. Step 4: Simplify right side
    6,854.43x = 62,087,231.06
  5. Step 5: Solve for x
    x = 62,087,231.06/6,854.43
  6. Step 6: Final answer
    x = 9,057.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.