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Finding the Fourth Proportional to 10,314.32, 15,471.54 and 4,389.68

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Solution

The fourth proportional to 10,314.32, 15,471.54 and 4,389.68 is: 6,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.32 : 15,471.54 = 4,389.68 : x
  2. Step 2: Convert to fraction form
    10,314.32/15,471.54 = 4,389.68/x
  3. Step 3: Cross multiply
    10,314.32x = 15,471.54 × 4,389.68
  4. Step 4: Simplify right side
    10,314.32x = 67,915,109.71
  5. Step 5: Solve for x
    x = 67,915,109.71/10,314.32
  6. Step 6: Final answer
    x = 6,584.55

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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.