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Finding the Fourth Proportional to 10,422.01, 15,637.46 and 6,913.25

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Solution

The fourth proportional to 10,422.01, 15,637.46 and 6,913.25 is: 10,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.01 : 15,637.46 = 6,913.25 : x
  2. Step 2: Convert to fraction form
    10,422.01/15,637.46 = 6,913.25/x
  3. Step 3: Cross multiply
    10,422.01x = 15,637.46 × 6,913.25
  4. Step 4: Simplify right side
    10,422.01x = 108,105,592.16
  5. Step 5: Solve for x
    x = 108,105,592.16/10,422.01
  6. Step 6: Final answer
    x = 10,372.82

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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.