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Finding the Fourth Proportional to 8,389.85, 12,574.01 and 3,462.95

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Solution

The fourth proportional to 8,389.85, 12,574.01 and 3,462.95 is: 5,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.85 : 12,574.01 = 3,462.95 : x
  2. Step 2: Convert to fraction form
    8,389.85/12,574.01 = 3,462.95/x
  3. Step 3: Cross multiply
    8,389.85x = 12,574.01 × 3,462.95
  4. Step 4: Simplify right side
    8,389.85x = 43,543,167.93
  5. Step 5: Solve for x
    x = 43,543,167.93/8,389.85
  6. Step 6: Final answer
    x = 5,189.98

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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.