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Finding the Fourth Proportional to 8,223.18, 12,337.86 and 4,938.63

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Solution

The fourth proportional to 8,223.18, 12,337.86 and 4,938.63 is: 7,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.18 : 12,337.86 = 4,938.63 : x
  2. Step 2: Convert to fraction form
    8,223.18/12,337.86 = 4,938.63/x
  3. Step 3: Cross multiply
    8,223.18x = 12,337.86 × 4,938.63
  4. Step 4: Simplify right side
    8,223.18x = 60,932,125.53
  5. Step 5: Solve for x
    x = 60,932,125.53/8,223.18
  6. Step 6: Final answer
    x = 7,409.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.