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Finding the Fourth Proportional to 7,686.59, 10,613.17 and 4,706.48

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Solution

The fourth proportional to 7,686.59, 10,613.17 and 4,706.48 is: 6,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.59 : 10,613.17 = 4,706.48 : x
  2. Step 2: Convert to fraction form
    7,686.59/10,613.17 = 4,706.48/x
  3. Step 3: Cross multiply
    7,686.59x = 10,613.17 × 4,706.48
  4. Step 4: Simplify right side
    7,686.59x = 49,950,704.76
  5. Step 5: Solve for x
    x = 49,950,704.76/7,686.59
  6. Step 6: Final answer
    x = 6,498.43

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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.