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Finding the Fourth Proportional to 10,007.47, 13,809.11 and 5,973.55

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Solution

The fourth proportional to 10,007.47, 13,809.11 and 5,973.55 is: 8,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.47 : 13,809.11 = 5,973.55 : x
  2. Step 2: Convert to fraction form
    10,007.47/13,809.11 = 5,973.55/x
  3. Step 3: Cross multiply
    10,007.47x = 13,809.11 × 5,973.55
  4. Step 4: Simplify right side
    10,007.47x = 82,489,409.04
  5. Step 5: Solve for x
    x = 82,489,409.04/10,007.47
  6. Step 6: Final answer
    x = 8,242.78

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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.