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Finding the Fourth Proportional to 7,152.03, 9,869.38 and 4,008.15

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Solution

The fourth proportional to 7,152.03, 9,869.38 and 4,008.15 is: 5,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.03 : 9,869.38 = 4,008.15 : x
  2. Step 2: Convert to fraction form
    7,152.03/9,869.38 = 4,008.15/x
  3. Step 3: Cross multiply
    7,152.03x = 9,869.38 × 4,008.15
  4. Step 4: Simplify right side
    7,152.03x = 39,557,945.43
  5. Step 5: Solve for x
    x = 39,557,945.43/7,152.03
  6. Step 6: Final answer
    x = 5,531.01

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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.