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Finding the Fourth Proportional to 7,959.48, 11,915.46 and 4,830

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Solution

The fourth proportional to 7,959.48, 11,915.46 and 4,830 is: 7,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.48 : 11,915.46 = 4,830 : x
  2. Step 2: Convert to fraction form
    7,959.48/11,915.46 = 4,830/x
  3. Step 3: Cross multiply
    7,959.48x = 11,915.46 × 4,830
  4. Step 4: Simplify right side
    7,959.48x = 57,551,671.80
  5. Step 5: Solve for x
    x = 57,551,671.80/7,959.48
  6. Step 6: Final answer
    x = 7,230.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.