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Finding the Fourth Proportional to 8,439.84, 11,642.16 and 4,902.60

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Solution

The fourth proportional to 8,439.84, 11,642.16 and 4,902.60 is: 6,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.84 : 11,642.16 = 4,902.60 : x
  2. Step 2: Convert to fraction form
    8,439.84/11,642.16 = 4,902.60/x
  3. Step 3: Cross multiply
    8,439.84x = 11,642.16 × 4,902.60
  4. Step 4: Simplify right side
    8,439.84x = 57,076,853.62
  5. Step 5: Solve for x
    x = 57,076,853.62/8,439.84
  6. Step 6: Final answer
    x = 6,762.79

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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.