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Finding the Fourth Proportional to 11,397.32, 17,106.92 and 5,558

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Solution

The fourth proportional to 11,397.32, 17,106.92 and 5,558 is: 8,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.32 : 17,106.92 = 5,558 : x
  2. Step 2: Convert to fraction form
    11,397.32/17,106.92 = 5,558/x
  3. Step 3: Cross multiply
    11,397.32x = 17,106.92 × 5,558
  4. Step 4: Simplify right side
    11,397.32x = 95,080,261.36
  5. Step 5: Solve for x
    x = 95,080,261.36/11,397.32
  6. Step 6: Final answer
    x = 8,342.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.