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Finding the Fourth Proportional to 11,597.32, 16,006.02 and 6,882.76

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Solution

The fourth proportional to 11,597.32, 16,006.02 and 6,882.76 is: 9,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.32 : 16,006.02 = 6,882.76 : x
  2. Step 2: Convert to fraction form
    11,597.32/16,006.02 = 6,882.76/x
  3. Step 3: Cross multiply
    11,597.32x = 16,006.02 × 6,882.76
  4. Step 4: Simplify right side
    11,597.32x = 110,165,594.22
  5. Step 5: Solve for x
    x = 110,165,594.22/11,597.32
  6. Step 6: Final answer
    x = 9,499.23

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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.