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Finding the Fourth Proportional to 10,726.95, 16,094.07 and 9,691.77

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Solution

The fourth proportional to 10,726.95, 16,094.07 and 9,691.77 is: 14,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.95 : 16,094.07 = 9,691.77 : x
  2. Step 2: Convert to fraction form
    10,726.95/16,094.07 = 9,691.77/x
  3. Step 3: Cross multiply
    10,726.95x = 16,094.07 × 9,691.77
  4. Step 4: Simplify right side
    10,726.95x = 155,980,024.80
  5. Step 5: Solve for x
    x = 155,980,024.80/10,726.95
  6. Step 6: Final answer
    x = 14,540.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.