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Finding the Fourth Proportional to 8,262.32, 11,401.62 and 4,677.44

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Solution

The fourth proportional to 8,262.32, 11,401.62 and 4,677.44 is: 6,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.32 : 11,401.62 = 4,677.44 : x
  2. Step 2: Convert to fraction form
    8,262.32/11,401.62 = 4,677.44/x
  3. Step 3: Cross multiply
    8,262.32x = 11,401.62 × 4,677.44
  4. Step 4: Simplify right side
    8,262.32x = 53,330,393.45
  5. Step 5: Solve for x
    x = 53,330,393.45/8,262.32
  6. Step 6: Final answer
    x = 6,454.65

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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.