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Finding the Fourth Proportional to 11,314.32, 15,599.40 and 8,088

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Solution

The fourth proportional to 11,314.32, 15,599.40 and 8,088 is: 11,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.32 : 15,599.40 = 8,088 : x
  2. Step 2: Convert to fraction form
    11,314.32/15,599.40 = 8,088/x
  3. Step 3: Cross multiply
    11,314.32x = 15,599.40 × 8,088
  4. Step 4: Simplify right side
    11,314.32x = 126,167,947.20
  5. Step 5: Solve for x
    x = 126,167,947.20/11,314.32
  6. Step 6: Final answer
    x = 11,151.17

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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.