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Finding the Fourth Proportional to 7,167.78, 9,891.51 and 4,024.02

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Solution

The fourth proportional to 7,167.78, 9,891.51 and 4,024.02 is: 5,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.78 : 9,891.51 = 4,024.02 : x
  2. Step 2: Convert to fraction form
    7,167.78/9,891.51 = 4,024.02/x
  3. Step 3: Cross multiply
    7,167.78x = 9,891.51 × 4,024.02
  4. Step 4: Simplify right side
    7,167.78x = 39,803,634.07
  5. Step 5: Solve for x
    x = 39,803,634.07/7,167.78
  6. Step 6: Final answer
    x = 5,553.13

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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.