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Finding the Fourth Proportional to 10,125.34, 13,974.03 and 5,875.14

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Solution

The fourth proportional to 10,125.34, 13,974.03 and 5,875.14 is: 8,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.34 : 13,974.03 = 5,875.14 : x
  2. Step 2: Convert to fraction form
    10,125.34/13,974.03 = 5,875.14/x
  3. Step 3: Cross multiply
    10,125.34x = 13,974.03 × 5,875.14
  4. Step 4: Simplify right side
    10,125.34x = 82,099,382.61
  5. Step 5: Solve for x
    x = 82,099,382.61/10,125.34
  6. Step 6: Final answer
    x = 8,108.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.