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Finding the Fourth Proportional to 11,284.78, 15,562.86 and 7,301.74

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Solution

The fourth proportional to 11,284.78, 15,562.86 and 7,301.74 is: 10,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.78 : 15,562.86 = 7,301.74 : x
  2. Step 2: Convert to fraction form
    11,284.78/15,562.86 = 7,301.74/x
  3. Step 3: Cross multiply
    11,284.78x = 15,562.86 × 7,301.74
  4. Step 4: Simplify right side
    11,284.78x = 113,635,957.38
  5. Step 5: Solve for x
    x = 113,635,957.38/11,284.78
  6. Step 6: Final answer
    x = 10,069.84

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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.