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Finding the Fourth Proportional to 10,019.78, 15,033.12 and 4,476.95

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Solution

The fourth proportional to 10,019.78, 15,033.12 and 4,476.95 is: 6,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.78 : 15,033.12 = 4,476.95 : x
  2. Step 2: Convert to fraction form
    10,019.78/15,033.12 = 4,476.95/x
  3. Step 3: Cross multiply
    10,019.78x = 15,033.12 × 4,476.95
  4. Step 4: Simplify right side
    10,019.78x = 67,302,516.19
  5. Step 5: Solve for x
    x = 67,302,516.19/10,019.78
  6. Step 6: Final answer
    x = 6,716.97

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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.