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Finding the Fourth Proportional to 10,006.47, 13,807.73 and 5,972.55

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Solution

The fourth proportional to 10,006.47, 13,807.73 and 5,972.55 is: 8,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.47 : 13,807.73 = 5,972.55 : x
  2. Step 2: Convert to fraction form
    10,006.47/13,807.73 = 5,972.55/x
  3. Step 3: Cross multiply
    10,006.47x = 13,807.73 × 5,972.55
  4. Step 4: Simplify right side
    10,006.47x = 82,467,357.81
  5. Step 5: Solve for x
    x = 82,467,357.81/10,006.47
  6. Step 6: Final answer
    x = 8,241.40

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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.