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Finding the Fourth Proportional to 7,747.55, 10,689.78 and 5,508.60

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Solution

The fourth proportional to 7,747.55, 10,689.78 and 5,508.60 is: 7,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.55 : 10,689.78 = 5,508.60 : x
  2. Step 2: Convert to fraction form
    7,747.55/10,689.78 = 5,508.60/x
  3. Step 3: Cross multiply
    7,747.55x = 10,689.78 × 5,508.60
  4. Step 4: Simplify right side
    7,747.55x = 58,885,722.11
  5. Step 5: Solve for x
    x = 58,885,722.11/7,747.55
  6. Step 6: Final answer
    x = 7,600.57

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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.