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Finding the Fourth Proportional to 10,214.02, 14,095.95 and 7,691.68

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Solution

The fourth proportional to 10,214.02, 14,095.95 and 7,691.68 is: 10,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.02 : 14,095.95 = 7,691.68 : x
  2. Step 2: Convert to fraction form
    10,214.02/14,095.95 = 7,691.68/x
  3. Step 3: Cross multiply
    10,214.02x = 14,095.95 × 7,691.68
  4. Step 4: Simplify right side
    10,214.02x = 108,421,472.61
  5. Step 5: Solve for x
    x = 108,421,472.61/10,214.02
  6. Step 6: Final answer
    x = 10,614.97

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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.