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Finding the Fourth Proportional to 10,311.66, 15,468.12 and 3,737.90

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Solution

The fourth proportional to 10,311.66, 15,468.12 and 3,737.90 is: 5,607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.66 : 15,468.12 = 3,737.90 : x
  2. Step 2: Convert to fraction form
    10,311.66/15,468.12 = 3,737.90/x
  3. Step 3: Cross multiply
    10,311.66x = 15,468.12 × 3,737.90
  4. Step 4: Simplify right side
    10,311.66x = 57,818,208.41
  5. Step 5: Solve for x
    x = 57,818,208.41/10,311.66
  6. Step 6: Final answer
    x = 5,607.07

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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.