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Finding the Fourth Proportional to 12,862.60, 19,301.10 and 5,465.80

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Solution

The fourth proportional to 12,862.60, 19,301.10 and 5,465.80 is: 8,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.60 : 19,301.10 = 5,465.80 : x
  2. Step 2: Convert to fraction form
    12,862.60/19,301.10 = 5,465.80/x
  3. Step 3: Cross multiply
    12,862.60x = 19,301.10 × 5,465.80
  4. Step 4: Simplify right side
    12,862.60x = 105,495,952.38
  5. Step 5: Solve for x
    x = 105,495,952.38/12,862.60
  6. Step 6: Final answer
    x = 8,201.76

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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.