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Finding the Fourth Proportional to 8,405.84, 11,589.72 and 5,421.68

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Solution

The fourth proportional to 8,405.84, 11,589.72 and 5,421.68 is: 7,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.84 : 11,589.72 = 5,421.68 : x
  2. Step 2: Convert to fraction form
    8,405.84/11,589.72 = 5,421.68/x
  3. Step 3: Cross multiply
    8,405.84x = 11,589.72 × 5,421.68
  4. Step 4: Simplify right side
    8,405.84x = 62,835,753.13
  5. Step 5: Solve for x
    x = 62,835,753.13/8,405.84
  6. Step 6: Final answer
    x = 7,475.25

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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.