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Finding the Fourth Proportional to 10,312.96, 15,470.98 and 4,389.80

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Solution

The fourth proportional to 10,312.96, 15,470.98 and 4,389.80 is: 6,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.96 : 15,470.98 = 4,389.80 : x
  2. Step 2: Convert to fraction form
    10,312.96/15,470.98 = 4,389.80/x
  3. Step 3: Cross multiply
    10,312.96x = 15,470.98 × 4,389.80
  4. Step 4: Simplify right side
    10,312.96x = 67,914,508.00
  5. Step 5: Solve for x
    x = 67,914,508.00/10,312.96
  6. Step 6: Final answer
    x = 6,585.36

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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.