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Finding the Fourth Proportional to 10,637.34, 15,959.28 and 5,446.86

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Solution

The fourth proportional to 10,637.34, 15,959.28 and 5,446.86 is: 8,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.34 : 15,959.28 = 5,446.86 : x
  2. Step 2: Convert to fraction form
    10,637.34/15,959.28 = 5,446.86/x
  3. Step 3: Cross multiply
    10,637.34x = 15,959.28 × 5,446.86
  4. Step 4: Simplify right side
    10,637.34x = 86,927,963.86
  5. Step 5: Solve for x
    x = 86,927,963.86/10,637.34
  6. Step 6: Final answer
    x = 8,171.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.