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Finding the Fourth Proportional to 13,254.78, 18,290.43 and 7,952.52

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Solution

The fourth proportional to 13,254.78, 18,290.43 and 7,952.52 is: 10,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.78 : 18,290.43 = 7,952.52 : x
  2. Step 2: Convert to fraction form
    13,254.78/18,290.43 = 7,952.52/x
  3. Step 3: Cross multiply
    13,254.78x = 18,290.43 × 7,952.52
  4. Step 4: Simplify right side
    13,254.78x = 145,455,010.38
  5. Step 5: Solve for x
    x = 145,455,010.38/13,254.78
  6. Step 6: Final answer
    x = 10,973.78

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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.