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Finding the Fourth Proportional to 8,392.38, 12,584 and 5,430.40

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Solution

The fourth proportional to 8,392.38, 12,584 and 5,430.40 is: 8,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.38 : 12,584 = 5,430.40 : x
  2. Step 2: Convert to fraction form
    8,392.38/12,584 = 5,430.40/x
  3. Step 3: Cross multiply
    8,392.38x = 12,584 × 5,430.40
  4. Step 4: Simplify right side
    8,392.38x = 68,336,153.60
  5. Step 5: Solve for x
    x = 68,336,153.60/8,392.38
  6. Step 6: Final answer
    x = 8,142.64

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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.