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Finding the Fourth Proportional to 10,474.66, 14,452.96 and 5,875.59

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Solution

The fourth proportional to 10,474.66, 14,452.96 and 5,875.59 is: 8,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.66 : 14,452.96 = 5,875.59 : x
  2. Step 2: Convert to fraction form
    10,474.66/14,452.96 = 5,875.59/x
  3. Step 3: Cross multiply
    10,474.66x = 14,452.96 × 5,875.59
  4. Step 4: Simplify right side
    10,474.66x = 84,919,644.74
  5. Step 5: Solve for x
    x = 84,919,644.74/10,474.66
  6. Step 6: Final answer
    x = 8,107.15

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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.