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Finding the Fourth Proportional to 8,434.66, 11,644.28 and 5,452.19

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Solution

The fourth proportional to 8,434.66, 11,644.28 and 5,452.19 is: 7,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.66 : 11,644.28 = 5,452.19 : x
  2. Step 2: Convert to fraction form
    8,434.66/11,644.28 = 5,452.19/x
  3. Step 3: Cross multiply
    8,434.66x = 11,644.28 × 5,452.19
  4. Step 4: Simplify right side
    8,434.66x = 63,486,741.49
  5. Step 5: Solve for x
    x = 63,486,741.49/8,434.66
  6. Step 6: Final answer
    x = 7,526.89

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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.