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Finding the Fourth Proportional to 10,029.83, 15,034.82 and 4,755.59

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Solution

The fourth proportional to 10,029.83, 15,034.82 and 4,755.59 is: 7,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.83 : 15,034.82 = 4,755.59 : x
  2. Step 2: Convert to fraction form
    10,029.83/15,034.82 = 4,755.59/x
  3. Step 3: Cross multiply
    10,029.83x = 15,034.82 × 4,755.59
  4. Step 4: Simplify right side
    10,029.83x = 71,499,439.64
  5. Step 5: Solve for x
    x = 71,499,439.64/10,029.83
  6. Step 6: Final answer
    x = 7,128.68

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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.