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Finding the Fourth Proportional to 7,008.26, 9,671.48 and 3,864.50

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Solution

The fourth proportional to 7,008.26, 9,671.48 and 3,864.50 is: 5,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.26 : 9,671.48 = 3,864.50 : x
  2. Step 2: Convert to fraction form
    7,008.26/9,671.48 = 3,864.50/x
  3. Step 3: Cross multiply
    7,008.26x = 9,671.48 × 3,864.50
  4. Step 4: Simplify right side
    7,008.26x = 37,375,434.46
  5. Step 5: Solve for x
    x = 37,375,434.46/7,008.26
  6. Step 6: Final answer
    x = 5,333.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.