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Finding the Fourth Proportional to 8,280, 11,426.46 and 4,554

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Solution

The fourth proportional to 8,280, 11,426.46 and 4,554 is: 6,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280 : 11,426.46 = 4,554 : x
  2. Step 2: Convert to fraction form
    8,280/11,426.46 = 4,554/x
  3. Step 3: Cross multiply
    8,280x = 11,426.46 × 4,554
  4. Step 4: Simplify right side
    8,280x = 52,036,098.84
  5. Step 5: Solve for x
    x = 52,036,098.84/8,280
  6. Step 6: Final answer
    x = 6,284.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.