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Finding the Fourth Proportional to 7,884.42, 10,880.56 and 4,347.74

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Solution

The fourth proportional to 7,884.42, 10,880.56 and 4,347.74 is: 5,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.42 : 10,880.56 = 4,347.74 : x
  2. Step 2: Convert to fraction form
    7,884.42/10,880.56 = 4,347.74/x
  3. Step 3: Cross multiply
    7,884.42x = 10,880.56 × 4,347.74
  4. Step 4: Simplify right side
    7,884.42x = 47,305,845.93
  5. Step 5: Solve for x
    x = 47,305,845.93/7,884.42
  6. Step 6: Final answer
    x = 5,999.91

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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.