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Finding the Fourth Proportional to 10,122.54, 15,188.19 and 5,437.08

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Solution

The fourth proportional to 10,122.54, 15,188.19 and 5,437.08 is: 8,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.54 : 15,188.19 = 5,437.08 : x
  2. Step 2: Convert to fraction form
    10,122.54/15,188.19 = 5,437.08/x
  3. Step 3: Cross multiply
    10,122.54x = 15,188.19 × 5,437.08
  4. Step 4: Simplify right side
    10,122.54x = 82,579,404.09
  5. Step 5: Solve for x
    x = 82,579,404.09/10,122.54
  6. Step 6: Final answer
    x = 8,157.97

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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.