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Finding the Fourth Proportional to 10,132.32, 13,984.93 and 5,941.92

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Solution

The fourth proportional to 10,132.32, 13,984.93 and 5,941.92 is: 8,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.32 : 13,984.93 = 5,941.92 : x
  2. Step 2: Convert to fraction form
    10,132.32/13,984.93 = 5,941.92/x
  3. Step 3: Cross multiply
    10,132.32x = 13,984.93 × 5,941.92
  4. Step 4: Simplify right side
    10,132.32x = 83,097,265.34
  5. Step 5: Solve for x
    x = 83,097,265.34/10,132.32
  6. Step 6: Final answer
    x = 8,201.21

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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.