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Finding the Fourth Proportional to 11,649.72, 16,078.78 and 10,937.58

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Solution

The fourth proportional to 11,649.72, 16,078.78 and 10,937.58 is: 15,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.72 : 16,078.78 = 10,937.58 : x
  2. Step 2: Convert to fraction form
    11,649.72/16,078.78 = 10,937.58/x
  3. Step 3: Cross multiply
    11,649.72x = 16,078.78 × 10,937.58
  4. Step 4: Simplify right side
    11,649.72x = 175,862,955.61
  5. Step 5: Solve for x
    x = 175,862,955.61/11,649.72
  6. Step 6: Final answer
    x = 15,095.89

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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.