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Finding the Fourth Proportional to 7,737.40, 11,606.10 and 2,543.80

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Solution

The fourth proportional to 7,737.40, 11,606.10 and 2,543.80 is: 3,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.40 : 11,606.10 = 2,543.80 : x
  2. Step 2: Convert to fraction form
    7,737.40/11,606.10 = 2,543.80/x
  3. Step 3: Cross multiply
    7,737.40x = 11,606.10 × 2,543.80
  4. Step 4: Simplify right side
    7,737.40x = 29,523,597.18
  5. Step 5: Solve for x
    x = 29,523,597.18/7,737.40
  6. Step 6: Final answer
    x = 3,815.70

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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.