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Finding the Fourth Proportional to 10,444.41, 15,658.40 and 5,175.80

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Solution

The fourth proportional to 10,444.41, 15,658.40 and 5,175.80 is: 7,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.41 : 15,658.40 = 5,175.80 : x
  2. Step 2: Convert to fraction form
    10,444.41/15,658.40 = 5,175.80/x
  3. Step 3: Cross multiply
    10,444.41x = 15,658.40 × 5,175.80
  4. Step 4: Simplify right side
    10,444.41x = 81,044,710.97
  5. Step 5: Solve for x
    x = 81,044,710.97/10,444.41
  6. Step 6: Final answer
    x = 7,759.63

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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.