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Finding the Fourth Proportional to 10,126.92, 15,196.06 and 4,287.90

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Solution

The fourth proportional to 10,126.92, 15,196.06 and 4,287.90 is: 6,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.92 : 15,196.06 = 4,287.90 : x
  2. Step 2: Convert to fraction form
    10,126.92/15,196.06 = 4,287.90/x
  3. Step 3: Cross multiply
    10,126.92x = 15,196.06 × 4,287.90
  4. Step 4: Simplify right side
    10,126.92x = 65,159,185.67
  5. Step 5: Solve for x
    x = 65,159,185.67/10,126.92
  6. Step 6: Final answer
    x = 6,434.26

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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.