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Finding the Fourth Proportional to 7,807.72, 11,711.64 and 2,614

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Solution

The fourth proportional to 7,807.72, 11,711.64 and 2,614 is: 3,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.72 : 11,711.64 = 2,614 : x
  2. Step 2: Convert to fraction form
    7,807.72/11,711.64 = 2,614/x
  3. Step 3: Cross multiply
    7,807.72x = 11,711.64 × 2,614
  4. Step 4: Simplify right side
    7,807.72x = 30,614,226.96
  5. Step 5: Solve for x
    x = 30,614,226.96/7,807.72
  6. Step 6: Final answer
    x = 3,921.02

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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.