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Finding the Fourth Proportional to 7,686.59, 10,607.85 and 4,500.86

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Solution

The fourth proportional to 7,686.59, 10,607.85 and 4,500.86 is: 6,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.59 : 10,607.85 = 4,500.86 : x
  2. Step 2: Convert to fraction form
    7,686.59/10,607.85 = 4,500.86/x
  3. Step 3: Cross multiply
    7,686.59x = 10,607.85 × 4,500.86
  4. Step 4: Simplify right side
    7,686.59x = 47,744,394.71
  5. Step 5: Solve for x
    x = 47,744,394.71/7,686.59
  6. Step 6: Final answer
    x = 6,211.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.