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Finding the Fourth Proportional to 10,025.43, 15,038.08 and 7,836

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Solution

The fourth proportional to 10,025.43, 15,038.08 and 7,836 is: 11,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.43 : 15,038.08 = 7,836 : x
  2. Step 2: Convert to fraction form
    10,025.43/15,038.08 = 7,836/x
  3. Step 3: Cross multiply
    10,025.43x = 15,038.08 × 7,836
  4. Step 4: Simplify right side
    10,025.43x = 117,838,375.29
  5. Step 5: Solve for x
    x = 117,838,375.29/10,025.43
  6. Step 6: Final answer
    x = 11,753.95

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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.