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Finding the Fourth Proportional to 8,862.89, 12,142.10 and 8,530.52

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Solution

The fourth proportional to 8,862.89, 12,142.10 and 8,530.52 is: 11,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862.89 : 12,142.10 = 8,530.52 : x
  2. Step 2: Convert to fraction form
    8,862.89/12,142.10 = 8,530.52/x
  3. Step 3: Cross multiply
    8,862.89x = 12,142.10 × 8,530.52
  4. Step 4: Simplify right side
    8,862.89x = 103,578,387.51
  5. Step 5: Solve for x
    x = 103,578,387.51/8,862.89
  6. Step 6: Final answer
    x = 11,686.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.