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Finding the Fourth Proportional to 10,437.90, 14,404.24 and 5,657.82

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Solution

The fourth proportional to 10,437.90, 14,404.24 and 5,657.82 is: 7,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.90 : 14,404.24 = 5,657.82 : x
  2. Step 2: Convert to fraction form
    10,437.90/14,404.24 = 5,657.82/x
  3. Step 3: Cross multiply
    10,437.90x = 14,404.24 × 5,657.82
  4. Step 4: Simplify right side
    10,437.90x = 81,496,611.30
  5. Step 5: Solve for x
    x = 81,496,611.30/10,437.90
  6. Step 6: Final answer
    x = 7,807.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.