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Finding the Fourth Proportional to 8,431.95, 12,646.73 and 5,302.41

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Solution

The fourth proportional to 8,431.95, 12,646.73 and 5,302.41 is: 7,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.95 : 12,646.73 = 5,302.41 : x
  2. Step 2: Convert to fraction form
    8,431.95/12,646.73 = 5,302.41/x
  3. Step 3: Cross multiply
    8,431.95x = 12,646.73 × 5,302.41
  4. Step 4: Simplify right side
    8,431.95x = 67,058,184.59
  5. Step 5: Solve for x
    x = 67,058,184.59/8,431.95
  6. Step 6: Final answer
    x = 7,952.87

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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.