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Finding the Fourth Proportional to 11,271.42, 15,549.38 and 7,293.84

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Solution

The fourth proportional to 11,271.42, 15,549.38 and 7,293.84 is: 10,062.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271.42 : 15,549.38 = 7,293.84 : x
  2. Step 2: Convert to fraction form
    11,271.42/15,549.38 = 7,293.84/x
  3. Step 3: Cross multiply
    11,271.42x = 15,549.38 × 7,293.84
  4. Step 4: Simplify right side
    11,271.42x = 113,414,689.82
  5. Step 5: Solve for x
    x = 113,414,689.82/11,271.42
  6. Step 6: Final answer
    x = 10,062.15

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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.