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Finding the Fourth Proportional to 10,124.34, 13,972.65 and 5,874.14

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Solution

The fourth proportional to 10,124.34, 13,972.65 and 5,874.14 is: 8,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.34 : 13,972.65 = 5,874.14 : x
  2. Step 2: Convert to fraction form
    10,124.34/13,972.65 = 5,874.14/x
  3. Step 3: Cross multiply
    10,124.34x = 13,972.65 × 5,874.14
  4. Step 4: Simplify right side
    10,124.34x = 82,077,232.41
  5. Step 5: Solve for x
    x = 82,077,232.41/10,124.34
  6. Step 6: Final answer
    x = 8,106.92

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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.