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Finding the Fourth Proportional to 8,189.52, 12,284.28 and 5,415.54

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Solution

The fourth proportional to 8,189.52, 12,284.28 and 5,415.54 is: 8,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.52 : 12,284.28 = 5,415.54 : x
  2. Step 2: Convert to fraction form
    8,189.52/12,284.28 = 5,415.54/x
  3. Step 3: Cross multiply
    8,189.52x = 12,284.28 × 5,415.54
  4. Step 4: Simplify right side
    8,189.52x = 66,526,009.71
  5. Step 5: Solve for x
    x = 66,526,009.71/8,189.52
  6. Step 6: Final answer
    x = 8,123.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.