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Finding the Fourth Proportional to 10,886.95, 15,018.28 and 8,229.75

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Solution

The fourth proportional to 10,886.95, 15,018.28 and 8,229.75 is: 11,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.95 : 15,018.28 = 8,229.75 : x
  2. Step 2: Convert to fraction form
    10,886.95/15,018.28 = 8,229.75/x
  3. Step 3: Cross multiply
    10,886.95x = 15,018.28 × 8,229.75
  4. Step 4: Simplify right side
    10,886.95x = 123,596,689.83
  5. Step 5: Solve for x
    x = 123,596,689.83/10,886.95
  6. Step 6: Final answer
    x = 11,352.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.