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Finding the Fourth Proportional to 8,284.37, 11,432.49 and 4,507.61

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Solution

The fourth proportional to 8,284.37, 11,432.49 and 4,507.61 is: 6,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.37 : 11,432.49 = 4,507.61 : x
  2. Step 2: Convert to fraction form
    8,284.37/11,432.49 = 4,507.61/x
  3. Step 3: Cross multiply
    8,284.37x = 11,432.49 × 4,507.61
  4. Step 4: Simplify right side
    8,284.37x = 51,533,206.25
  5. Step 5: Solve for x
    x = 51,533,206.25/8,284.37
  6. Step 6: Final answer
    x = 6,220.53

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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.