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Finding the Fourth Proportional to 8,610.24, 11,881.44 and 4,782

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Solution

The fourth proportional to 8,610.24, 11,881.44 and 4,782 is: 6,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.24 : 11,881.44 = 4,782 : x
  2. Step 2: Convert to fraction form
    8,610.24/11,881.44 = 4,782/x
  3. Step 3: Cross multiply
    8,610.24x = 11,881.44 × 4,782
  4. Step 4: Simplify right side
    8,610.24x = 56,817,046.08
  5. Step 5: Solve for x
    x = 56,817,046.08/8,610.24
  6. Step 6: Final answer
    x = 6,598.78

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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.