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Finding the Fourth Proportional to 7,773.75, 11,661.80 and 2,507.00

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Solution

The fourth proportional to 7,773.75, 11,661.80 and 2,507.00 is: 3,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.75 : 11,661.80 = 2,507.00 : x
  2. Step 2: Convert to fraction form
    7,773.75/11,661.80 = 2,507.00/x
  3. Step 3: Cross multiply
    7,773.75x = 11,661.80 × 2,507.00
  4. Step 4: Simplify right side
    7,773.75x = 29,236,061.76
  5. Step 5: Solve for x
    x = 29,236,061.76/7,773.75
  6. Step 6: Final answer
    x = 3,760.87

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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.