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Finding the Fourth Proportional to 7,117.43, 9,822.02 and 4,135.01

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Solution

The fourth proportional to 7,117.43, 9,822.02 and 4,135.01 is: 5,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.43 : 9,822.02 = 4,135.01 : x
  2. Step 2: Convert to fraction form
    7,117.43/9,822.02 = 4,135.01/x
  3. Step 3: Cross multiply
    7,117.43x = 9,822.02 × 4,135.01
  4. Step 4: Simplify right side
    7,117.43x = 40,614,081.14
  5. Step 5: Solve for x
    x = 40,614,081.14/7,117.43
  6. Step 6: Final answer
    x = 5,706.29

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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.