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Finding the Fourth Proportional to 11,530.34, 15,796.62 and 11,098.40

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Solution

The fourth proportional to 11,530.34, 15,796.62 and 11,098.40 is: 15,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.34 : 15,796.62 = 11,098.40 : x
  2. Step 2: Convert to fraction form
    11,530.34/15,796.62 = 11,098.40/x
  3. Step 3: Cross multiply
    11,530.34x = 15,796.62 × 11,098.40
  4. Step 4: Simplify right side
    11,530.34x = 175,317,217.28
  5. Step 5: Solve for x
    x = 175,317,217.28/11,530.34
  6. Step 6: Final answer
    x = 15,204.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.