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Finding the Fourth Proportional to 10,386.92, 14,342.12 and 8,363.91

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Solution

The fourth proportional to 10,386.92, 14,342.12 and 8,363.91 is: 11,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.92 : 14,342.12 = 8,363.91 : x
  2. Step 2: Convert to fraction form
    10,386.92/14,342.12 = 8,363.91/x
  3. Step 3: Cross multiply
    10,386.92x = 14,342.12 × 8,363.91
  4. Step 4: Simplify right side
    10,386.92x = 119,956,159.07
  5. Step 5: Solve for x
    x = 119,956,159.07/10,386.92
  6. Step 6: Final answer
    x = 11,548.78

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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.