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Finding the Fourth Proportional to 11,298.66, 15,591.45 and 6,638.09

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Solution

The fourth proportional to 11,298.66, 15,591.45 and 6,638.09 is: 9,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.66 : 15,591.45 = 6,638.09 : x
  2. Step 2: Convert to fraction form
    11,298.66/15,591.45 = 6,638.09/x
  3. Step 3: Cross multiply
    11,298.66x = 15,591.45 × 6,638.09
  4. Step 4: Simplify right side
    11,298.66x = 103,497,370.37
  5. Step 5: Solve for x
    x = 103,497,370.37/11,298.66
  6. Step 6: Final answer
    x = 9,160.15

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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.