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Finding the Fourth Proportional to 8,284.80, 11,432.88 and 5,140.08

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Solution

The fourth proportional to 8,284.80, 11,432.88 and 5,140.08 is: 7,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.80 : 11,432.88 = 5,140.08 : x
  2. Step 2: Convert to fraction form
    8,284.80/11,432.88 = 5,140.08/x
  3. Step 3: Cross multiply
    8,284.80x = 11,432.88 × 5,140.08
  4. Step 4: Simplify right side
    8,284.80x = 58,765,917.83
  5. Step 5: Solve for x
    x = 58,765,917.83/8,284.80
  6. Step 6: Final answer
    x = 7,093.22

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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.