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Finding the Fourth Proportional to 10,147.52, 14,002.08 and 5,957.12

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Solution

The fourth proportional to 10,147.52, 14,002.08 and 5,957.12 is: 8,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.52 : 14,002.08 = 5,957.12 : x
  2. Step 2: Convert to fraction form
    10,147.52/14,002.08 = 5,957.12/x
  3. Step 3: Cross multiply
    10,147.52x = 14,002.08 × 5,957.12
  4. Step 4: Simplify right side
    10,147.52x = 83,412,070.81
  5. Step 5: Solve for x
    x = 83,412,070.81/10,147.52
  6. Step 6: Final answer
    x = 8,219.95

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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.