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Finding the Fourth Proportional to 10,470.72, 15,707.82 and 4,854.03

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Solution

The fourth proportional to 10,470.72, 15,707.82 and 4,854.03 is: 7,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.72 : 15,707.82 = 4,854.03 : x
  2. Step 2: Convert to fraction form
    10,470.72/15,707.82 = 4,854.03/x
  3. Step 3: Cross multiply
    10,470.72x = 15,707.82 × 4,854.03
  4. Step 4: Simplify right side
    10,470.72x = 76,246,229.51
  5. Step 5: Solve for x
    x = 76,246,229.51/10,470.72
  6. Step 6: Final answer
    x = 7,281.85

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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.