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Finding the Fourth Proportional to 11,557, 17,332.60 and 3,234.86

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Solution

The fourth proportional to 11,557, 17,332.60 and 3,234.86 is: 4,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557 : 17,332.60 = 3,234.86 : x
  2. Step 2: Convert to fraction form
    11,557/17,332.60 = 3,234.86/x
  3. Step 3: Cross multiply
    11,557x = 17,332.60 × 3,234.86
  4. Step 4: Simplify right side
    11,557x = 56,068,534.44
  5. Step 5: Solve for x
    x = 56,068,534.44/11,557
  6. Step 6: Final answer
    x = 4,851.48

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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.