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Finding the Fourth Proportional to 11,493.60, 17,211.12 and 7,586.08

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Solution

The fourth proportional to 11,493.60, 17,211.12 and 7,586.08 is: 11,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.60 : 17,211.12 = 7,586.08 : x
  2. Step 2: Convert to fraction form
    11,493.60/17,211.12 = 7,586.08/x
  3. Step 3: Cross multiply
    11,493.60x = 17,211.12 × 7,586.08
  4. Step 4: Simplify right side
    11,493.60x = 130,564,933.21
  5. Step 5: Solve for x
    x = 130,564,933.21/11,493.60
  6. Step 6: Final answer
    x = 11,359.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.