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Finding the Fourth Proportional to 7,707.36, 11,559.12 and 3,326.88

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Solution

The fourth proportional to 7,707.36, 11,559.12 and 3,326.88 is: 4,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.36 : 11,559.12 = 3,326.88 : x
  2. Step 2: Convert to fraction form
    7,707.36/11,559.12 = 3,326.88/x
  3. Step 3: Cross multiply
    7,707.36x = 11,559.12 × 3,326.88
  4. Step 4: Simplify right side
    7,707.36x = 38,455,805.15
  5. Step 5: Solve for x
    x = 38,455,805.15/7,707.36
  6. Step 6: Final answer
    x = 4,989.49

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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.