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Finding the Fourth Proportional to 10,974.96, 15,145.11 and 6,259.02

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Solution

The fourth proportional to 10,974.96, 15,145.11 and 6,259.02 is: 8,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.96 : 15,145.11 = 6,259.02 : x
  2. Step 2: Convert to fraction form
    10,974.96/15,145.11 = 6,259.02/x
  3. Step 3: Cross multiply
    10,974.96x = 15,145.11 × 6,259.02
  4. Step 4: Simplify right side
    10,974.96x = 94,793,546.39
  5. Step 5: Solve for x
    x = 94,793,546.39/10,974.96
  6. Step 6: Final answer
    x = 8,637.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.