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Finding the Fourth Proportional to 7,884.26, 10,880.30 and 4,347.47

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Solution

The fourth proportional to 7,884.26, 10,880.30 and 4,347.47 is: 5,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.26 : 10,880.30 = 4,347.47 : x
  2. Step 2: Convert to fraction form
    7,884.26/10,880.30 = 4,347.47/x
  3. Step 3: Cross multiply
    7,884.26x = 10,880.30 × 4,347.47
  4. Step 4: Simplify right side
    7,884.26x = 47,301,777.84
  5. Step 5: Solve for x
    x = 47,301,777.84/7,884.26
  6. Step 6: Final answer
    x = 5,999.52

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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.