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Finding the Fourth Proportional to 11,188.08, 15,431.16 and 10,691.76

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Solution

The fourth proportional to 11,188.08, 15,431.16 and 10,691.76 is: 14,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.08 : 15,431.16 = 10,691.76 : x
  2. Step 2: Convert to fraction form
    11,188.08/15,431.16 = 10,691.76/x
  3. Step 3: Cross multiply
    11,188.08x = 15,431.16 × 10,691.76
  4. Step 4: Simplify right side
    11,188.08x = 164,986,259.24
  5. Step 5: Solve for x
    x = 164,986,259.24/11,188.08
  6. Step 6: Final answer
    x = 14,746.61

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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.