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Finding the Fourth Proportional to 10,886.62, 15,023.69 and 8,156.32

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Solution

The fourth proportional to 10,886.62, 15,023.69 and 8,156.32 is: 11,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.62 : 15,023.69 = 8,156.32 : x
  2. Step 2: Convert to fraction form
    10,886.62/15,023.69 = 8,156.32/x
  3. Step 3: Cross multiply
    10,886.62x = 15,023.69 × 8,156.32
  4. Step 4: Simplify right side
    10,886.62x = 122,538,023.22
  5. Step 5: Solve for x
    x = 122,538,023.22/10,886.62
  6. Step 6: Final answer
    x = 11,255.84

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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.