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Finding the Fourth Proportional to 11,257.47, 15,534.86 and 6,541.38

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Solution

The fourth proportional to 11,257.47, 15,534.86 and 6,541.38 is: 9,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.47 : 15,534.86 = 6,541.38 : x
  2. Step 2: Convert to fraction form
    11,257.47/15,534.86 = 6,541.38/x
  3. Step 3: Cross multiply
    11,257.47x = 15,534.86 × 6,541.38
  4. Step 4: Simplify right side
    11,257.47x = 101,619,389.80
  5. Step 5: Solve for x
    x = 101,619,389.80/11,257.47
  6. Step 6: Final answer
    x = 9,026.84

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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.