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Finding the Fourth Proportional to 10,437.58, 15,649.44 and 5,759.83

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Solution

The fourth proportional to 10,437.58, 15,649.44 and 5,759.83 is: 8,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.58 : 15,649.44 = 5,759.83 : x
  2. Step 2: Convert to fraction form
    10,437.58/15,649.44 = 5,759.83/x
  3. Step 3: Cross multiply
    10,437.58x = 15,649.44 × 5,759.83
  4. Step 4: Simplify right side
    10,437.58x = 90,138,114.00
  5. Step 5: Solve for x
    x = 90,138,114.00/10,437.58
  6. Step 6: Final answer
    x = 8,635.92

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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.