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Finding the Fourth Proportional to 11,437.44, 17,148.72 and 7,530

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Solution

The fourth proportional to 11,437.44, 17,148.72 and 7,530 is: 11,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.44 : 17,148.72 = 7,530 : x
  2. Step 2: Convert to fraction form
    11,437.44/17,148.72 = 7,530/x
  3. Step 3: Cross multiply
    11,437.44x = 17,148.72 × 7,530
  4. Step 4: Simplify right side
    11,437.44x = 129,129,861.60
  5. Step 5: Solve for x
    x = 129,129,861.60/11,437.44
  6. Step 6: Final answer
    x = 11,290.10

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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.