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Finding the Fourth Proportional to 8,684.74, 13,013.42 and 6,715.18

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Solution

The fourth proportional to 8,684.74, 13,013.42 and 6,715.18 is: 10,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.74 : 13,013.42 = 6,715.18 : x
  2. Step 2: Convert to fraction form
    8,684.74/13,013.42 = 6,715.18/x
  3. Step 3: Cross multiply
    8,684.74x = 13,013.42 × 6,715.18
  4. Step 4: Simplify right side
    8,684.74x = 87,387,457.72
  5. Step 5: Solve for x
    x = 87,387,457.72/8,684.74
  6. Step 6: Final answer
    x = 10,062.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.