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Finding the Fourth Proportional to 7,803.60, 11,699.93 and 2,872.60

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Solution

The fourth proportional to 7,803.60, 11,699.93 and 2,872.60 is: 4,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.60 : 11,699.93 = 2,872.60 : x
  2. Step 2: Convert to fraction form
    7,803.60/11,699.93 = 2,872.60/x
  3. Step 3: Cross multiply
    7,803.60x = 11,699.93 × 2,872.60
  4. Step 4: Simplify right side
    7,803.60x = 33,609,180.69
  5. Step 5: Solve for x
    x = 33,609,180.69/7,803.60
  6. Step 6: Final answer
    x = 4,306.88

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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.