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Finding the Fourth Proportional to 7,276.99, 10,915.48 and 3,114.30

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Solution

The fourth proportional to 7,276.99, 10,915.48 and 3,114.30 is: 4,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.99 : 10,915.48 = 3,114.30 : x
  2. Step 2: Convert to fraction form
    7,276.99/10,915.48 = 3,114.30/x
  3. Step 3: Cross multiply
    7,276.99x = 10,915.48 × 3,114.30
  4. Step 4: Simplify right side
    7,276.99x = 33,994,039.50
  5. Step 5: Solve for x
    x = 33,994,039.50/7,276.99
  6. Step 6: Final answer
    x = 4,671.44

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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.