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Finding the Fourth Proportional to 8,686.68, 13,023.30 and 5,420.76

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Solution

The fourth proportional to 8,686.68, 13,023.30 and 5,420.76 is: 8,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.68 : 13,023.30 = 5,420.76 : x
  2. Step 2: Convert to fraction form
    8,686.68/13,023.30 = 5,420.76/x
  3. Step 3: Cross multiply
    8,686.68x = 13,023.30 × 5,420.76
  4. Step 4: Simplify right side
    8,686.68x = 70,596,183.71
  5. Step 5: Solve for x
    x = 70,596,183.71/8,686.68
  6. Step 6: Final answer
    x = 8,126.95

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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.