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Finding the Fourth Proportional to 7,884.31, 10,880.38 and 4,347.52

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Solution

The fourth proportional to 7,884.31, 10,880.38 and 4,347.52 is: 5,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.31 : 10,880.38 = 4,347.52 : x
  2. Step 2: Convert to fraction form
    7,884.31/10,880.38 = 4,347.52/x
  3. Step 3: Cross multiply
    7,884.31x = 10,880.38 × 4,347.52
  4. Step 4: Simplify right side
    7,884.31x = 47,302,643.30
  5. Step 5: Solve for x
    x = 47,302,643.30/7,884.31
  6. Step 6: Final answer
    x = 5,999.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.