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Finding the Fourth Proportional to 11,797.32, 17,701.80 and 5,557.89

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Solution

The fourth proportional to 11,797.32, 17,701.80 and 5,557.89 is: 8,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.32 : 17,701.80 = 5,557.89 : x
  2. Step 2: Convert to fraction form
    11,797.32/17,701.80 = 5,557.89/x
  3. Step 3: Cross multiply
    11,797.32x = 17,701.80 × 5,557.89
  4. Step 4: Simplify right side
    11,797.32x = 98,384,657.20
  5. Step 5: Solve for x
    x = 98,384,657.20/11,797.32
  6. Step 6: Final answer
    x = 8,339.58

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Why These Related Problems?

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