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Finding the Fourth Proportional to 7,663.66, 11,479.32 and 3,507.17

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Solution

The fourth proportional to 7,663.66, 11,479.32 and 3,507.17 is: 5,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.66 : 11,479.32 = 3,507.17 : x
  2. Step 2: Convert to fraction form
    7,663.66/11,479.32 = 3,507.17/x
  3. Step 3: Cross multiply
    7,663.66x = 11,479.32 × 3,507.17
  4. Step 4: Simplify right side
    7,663.66x = 40,259,869.33
  5. Step 5: Solve for x
    x = 40,259,869.33/7,663.66
  6. Step 6: Final answer
    x = 5,253.35

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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.