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Finding the Fourth Proportional to 8,244.24, 11,376 and 4,706.52

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Solution

The fourth proportional to 8,244.24, 11,376 and 4,706.52 is: 6,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.24 : 11,376 = 4,706.52 : x
  2. Step 2: Convert to fraction form
    8,244.24/11,376 = 4,706.52/x
  3. Step 3: Cross multiply
    8,244.24x = 11,376 × 4,706.52
  4. Step 4: Simplify right side
    8,244.24x = 53,541,371.52
  5. Step 5: Solve for x
    x = 53,541,371.52/8,244.24
  6. Step 6: Final answer
    x = 6,494.40

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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.