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Finding the Fourth Proportional to 7,763.56, 11,643.52 and 3,867.08

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Solution

The fourth proportional to 7,763.56, 11,643.52 and 3,867.08 is: 5,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.56 : 11,643.52 = 3,867.08 : x
  2. Step 2: Convert to fraction form
    7,763.56/11,643.52 = 3,867.08/x
  3. Step 3: Cross multiply
    7,763.56x = 11,643.52 × 3,867.08
  4. Step 4: Simplify right side
    7,763.56x = 45,026,423.32
  5. Step 5: Solve for x
    x = 45,026,423.32/7,763.56
  6. Step 6: Final answer
    x = 5,799.71

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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.