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Finding the Fourth Proportional to 8,223.52, 11,347.60 and 4,865.66

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Solution

The fourth proportional to 8,223.52, 11,347.60 and 4,865.66 is: 6,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.52 : 11,347.60 = 4,865.66 : x
  2. Step 2: Convert to fraction form
    8,223.52/11,347.60 = 4,865.66/x
  3. Step 3: Cross multiply
    8,223.52x = 11,347.60 × 4,865.66
  4. Step 4: Simplify right side
    8,223.52x = 55,213,563.42
  5. Step 5: Solve for x
    x = 55,213,563.42/8,223.52
  6. Step 6: Final answer
    x = 6,714.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.