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Finding the Fourth Proportional to 8,284.62, 11,432.88 and 4,507.80

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Solution

The fourth proportional to 8,284.62, 11,432.88 and 4,507.80 is: 6,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.62 : 11,432.88 = 4,507.80 : x
  2. Step 2: Convert to fraction form
    8,284.62/11,432.88 = 4,507.80/x
  3. Step 3: Cross multiply
    8,284.62x = 11,432.88 × 4,507.80
  4. Step 4: Simplify right side
    8,284.62x = 51,537,136.46
  5. Step 5: Solve for x
    x = 51,537,136.46/8,284.62
  6. Step 6: Final answer
    x = 6,220.82

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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.