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Finding the Fourth Proportional to 10,472.85, 14,452.53 and 5,998.08

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Solution

The fourth proportional to 10,472.85, 14,452.53 and 5,998.08 is: 8,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.85 : 14,452.53 = 5,998.08 : x
  2. Step 2: Convert to fraction form
    10,472.85/14,452.53 = 5,998.08/x
  3. Step 3: Cross multiply
    10,472.85x = 14,452.53 × 5,998.08
  4. Step 4: Simplify right side
    10,472.85x = 86,687,401.15
  5. Step 5: Solve for x
    x = 86,687,401.15/10,472.85
  6. Step 6: Final answer
    x = 8,277.35

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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.