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Finding the Fourth Proportional to 10,098.52, 13,937.34 and 6,383.32

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Solution

The fourth proportional to 10,098.52, 13,937.34 and 6,383.32 is: 8,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.52 : 13,937.34 = 6,383.32 : x
  2. Step 2: Convert to fraction form
    10,098.52/13,937.34 = 6,383.32/x
  3. Step 3: Cross multiply
    10,098.52x = 13,937.34 × 6,383.32
  4. Step 4: Simplify right side
    10,098.52x = 88,966,501.17
  5. Step 5: Solve for x
    x = 88,966,501.17/10,098.52
  6. Step 6: Final answer
    x = 8,809.86

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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.