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Finding the Fourth Proportional to 8,400.74, 11,589.13 and 5,417.53

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Solution

The fourth proportional to 8,400.74, 11,589.13 and 5,417.53 is: 7,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.74 : 11,589.13 = 5,417.53 : x
  2. Step 2: Convert to fraction form
    8,400.74/11,589.13 = 5,417.53/x
  3. Step 3: Cross multiply
    8,400.74x = 11,589.13 × 5,417.53
  4. Step 4: Simplify right side
    8,400.74x = 62,784,459.45
  5. Step 5: Solve for x
    x = 62,784,459.45/8,400.74
  6. Step 6: Final answer
    x = 7,473.68

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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.