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Finding the Fourth Proportional to 10,162.92, 14,024.94 and 5,686.92

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Solution

The fourth proportional to 10,162.92, 14,024.94 and 5,686.92 is: 7,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.92 : 14,024.94 = 5,686.92 : x
  2. Step 2: Convert to fraction form
    10,162.92/14,024.94 = 5,686.92/x
  3. Step 3: Cross multiply
    10,162.92x = 14,024.94 × 5,686.92
  4. Step 4: Simplify right side
    10,162.92x = 79,758,711.78
  5. Step 5: Solve for x
    x = 79,758,711.78/10,162.92
  6. Step 6: Final answer
    x = 7,848.01

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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.