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Finding the Fourth Proportional to 10,038.84, 15,067.50 and 5,112

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Solution

The fourth proportional to 10,038.84, 15,067.50 and 5,112 is: 7,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.84 : 15,067.50 = 5,112 : x
  2. Step 2: Convert to fraction form
    10,038.84/15,067.50 = 5,112/x
  3. Step 3: Cross multiply
    10,038.84x = 15,067.50 × 5,112
  4. Step 4: Simplify right side
    10,038.84x = 77,025,060
  5. Step 5: Solve for x
    x = 77,025,060/10,038.84
  6. Step 6: Final answer
    x = 7,672.71

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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.