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Finding the Fourth Proportional to 7,044.52, 9,727.89 and 4,531

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Solution

The fourth proportional to 7,044.52, 9,727.89 and 4,531 is: 6,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.52 : 9,727.89 = 4,531 : x
  2. Step 2: Convert to fraction form
    7,044.52/9,727.89 = 4,531/x
  3. Step 3: Cross multiply
    7,044.52x = 9,727.89 × 4,531
  4. Step 4: Simplify right side
    7,044.52x = 44,077,069.59
  5. Step 5: Solve for x
    x = 44,077,069.59/7,044.52
  6. Step 6: Final answer
    x = 6,256.93

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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.