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Finding the Fourth Proportional to 10,012.83, 15,019.25 and 4,089.71

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Solution

The fourth proportional to 10,012.83, 15,019.25 and 4,089.71 is: 6,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.83 : 15,019.25 = 4,089.71 : x
  2. Step 2: Convert to fraction form
    10,012.83/15,019.25 = 4,089.71/x
  3. Step 3: Cross multiply
    10,012.83x = 15,019.25 × 4,089.71
  4. Step 4: Simplify right side
    10,012.83x = 61,424,414.47
  5. Step 5: Solve for x
    x = 61,424,414.47/10,012.83
  6. Step 6: Final answer
    x = 6,134.57

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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.