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Finding the Fourth Proportional to 7,938.09, 10,952.34 and 6,254.28

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Solution

The fourth proportional to 7,938.09, 10,952.34 and 6,254.28 is: 8,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.09 : 10,952.34 = 6,254.28 : x
  2. Step 2: Convert to fraction form
    7,938.09/10,952.34 = 6,254.28/x
  3. Step 3: Cross multiply
    7,938.09x = 10,952.34 × 6,254.28
  4. Step 4: Simplify right side
    7,938.09x = 68,499,001.02
  5. Step 5: Solve for x
    x = 68,499,001.02/7,938.09
  6. Step 6: Final answer
    x = 8,629.15

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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.