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Finding the Fourth Proportional to 8,686.78, 13,030.17 and 3,491.44

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Solution

The fourth proportional to 8,686.78, 13,030.17 and 3,491.44 is: 5,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.78 : 13,030.17 = 3,491.44 : x
  2. Step 2: Convert to fraction form
    8,686.78/13,030.17 = 3,491.44/x
  3. Step 3: Cross multiply
    8,686.78x = 13,030.17 × 3,491.44
  4. Step 4: Simplify right side
    8,686.78x = 45,494,011.08
  5. Step 5: Solve for x
    x = 45,494,011.08/8,686.78
  6. Step 6: Final answer
    x = 5,237.16

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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.