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Finding the Fourth Proportional to 7,344.50, 10,135.01 and 4,158.17

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Solution

The fourth proportional to 7,344.50, 10,135.01 and 4,158.17 is: 5,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.50 : 10,135.01 = 4,158.17 : x
  2. Step 2: Convert to fraction form
    7,344.50/10,135.01 = 4,158.17/x
  3. Step 3: Cross multiply
    7,344.50x = 10,135.01 × 4,158.17
  4. Step 4: Simplify right side
    7,344.50x = 42,143,094.53
  5. Step 5: Solve for x
    x = 42,143,094.53/7,344.50
  6. Step 6: Final answer
    x = 5,738.05

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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.