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Finding the Fourth Proportional to 10,974.72, 15,145.38 and 6,259.08

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Solution

The fourth proportional to 10,974.72, 15,145.38 and 6,259.08 is: 8,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.72 : 15,145.38 = 6,259.08 : x
  2. Step 2: Convert to fraction form
    10,974.72/15,145.38 = 6,259.08/x
  3. Step 3: Cross multiply
    10,974.72x = 15,145.38 × 6,259.08
  4. Step 4: Simplify right side
    10,974.72x = 94,796,145.05
  5. Step 5: Solve for x
    x = 94,796,145.05/10,974.72
  6. Step 6: Final answer
    x = 8,637.68

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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.