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Finding the Fourth Proportional to 8,292.38, 12,430.75 and 4,128.45

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Solution

The fourth proportional to 8,292.38, 12,430.75 and 4,128.45 is: 6,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.38 : 12,430.75 = 4,128.45 : x
  2. Step 2: Convert to fraction form
    8,292.38/12,430.75 = 4,128.45/x
  3. Step 3: Cross multiply
    8,292.38x = 12,430.75 × 4,128.45
  4. Step 4: Simplify right side
    8,292.38x = 51,319,729.84
  5. Step 5: Solve for x
    x = 51,319,729.84/8,292.38
  6. Step 6: Final answer
    x = 6,188.78

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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.