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Finding the Fourth Proportional to 8,247.84, 12,374.47 and 5,485.38

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Solution

The fourth proportional to 8,247.84, 12,374.47 and 5,485.38 is: 8,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.84 : 12,374.47 = 5,485.38 : x
  2. Step 2: Convert to fraction form
    8,247.84/12,374.47 = 5,485.38/x
  3. Step 3: Cross multiply
    8,247.84x = 12,374.47 × 5,485.38
  4. Step 4: Simplify right side
    8,247.84x = 67,878,670.25
  5. Step 5: Solve for x
    x = 67,878,670.25/8,247.84
  6. Step 6: Final answer
    x = 8,229.87

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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.