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Finding the Fourth Proportional to 7,867.64, 11,803.17 and 3,707.66

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Solution

The fourth proportional to 7,867.64, 11,803.17 and 3,707.66 is: 5,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.64 : 11,803.17 = 3,707.66 : x
  2. Step 2: Convert to fraction form
    7,867.64/11,803.17 = 3,707.66/x
  3. Step 3: Cross multiply
    7,867.64x = 11,803.17 × 3,707.66
  4. Step 4: Simplify right side
    7,867.64x = 43,762,141.28
  5. Step 5: Solve for x
    x = 43,762,141.28/7,867.64
  6. Step 6: Final answer
    x = 5,562.30

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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.