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Finding the Fourth Proportional to 10,006.48, 13,809.72 and 5,815.04

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Solution

The fourth proportional to 10,006.48, 13,809.72 and 5,815.04 is: 8,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.48 : 13,809.72 = 5,815.04 : x
  2. Step 2: Convert to fraction form
    10,006.48/13,809.72 = 5,815.04/x
  3. Step 3: Cross multiply
    10,006.48x = 13,809.72 × 5,815.04
  4. Step 4: Simplify right side
    10,006.48x = 80,304,074.19
  5. Step 5: Solve for x
    x = 80,304,074.19/10,006.48
  6. Step 6: Final answer
    x = 8,025.21

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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.