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Finding the Fourth Proportional to 7,884.66, 10,880.91 and 4,348

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Solution

The fourth proportional to 7,884.66, 10,880.91 and 4,348 is: 6,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.66 : 10,880.91 = 4,348 : x
  2. Step 2: Convert to fraction form
    7,884.66/10,880.91 = 4,348/x
  3. Step 3: Cross multiply
    7,884.66x = 10,880.91 × 4,348
  4. Step 4: Simplify right side
    7,884.66x = 47,310,196.68
  5. Step 5: Solve for x
    x = 47,310,196.68/7,884.66
  6. Step 6: Final answer
    x = 6,000.28

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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.