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Finding the Fourth Proportional to 10,146.92, 14,001.78 and 6,113.12

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Solution

The fourth proportional to 10,146.92, 14,001.78 and 6,113.12 is: 8,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.92 : 14,001.78 = 6,113.12 : x
  2. Step 2: Convert to fraction form
    10,146.92/14,001.78 = 6,113.12/x
  3. Step 3: Cross multiply
    10,146.92x = 14,001.78 × 6,113.12
  4. Step 4: Simplify right side
    10,146.92x = 85,594,491.34
  5. Step 5: Solve for x
    x = 85,594,491.34/10,146.92
  6. Step 6: Final answer
    x = 8,435.52

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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.