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Finding the Fourth Proportional to 8,223.72, 11,348.68 and 4,686.86

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Solution

The fourth proportional to 8,223.72, 11,348.68 and 4,686.86 is: 6,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.72 : 11,348.68 = 4,686.86 : x
  2. Step 2: Convert to fraction form
    8,223.72/11,348.68 = 4,686.86/x
  3. Step 3: Cross multiply
    8,223.72x = 11,348.68 × 4,686.86
  4. Step 4: Simplify right side
    8,223.72x = 53,189,674.34
  5. Step 5: Solve for x
    x = 53,189,674.34/8,223.72
  6. Step 6: Final answer
    x = 6,467.84

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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.