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Finding the Fourth Proportional to 10,173.66, 14,041.07 and 7,350.17

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Solution

The fourth proportional to 10,173.66, 14,041.07 and 7,350.17 is: 10,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.66 : 14,041.07 = 7,350.17 : x
  2. Step 2: Convert to fraction form
    10,173.66/14,041.07 = 7,350.17/x
  3. Step 3: Cross multiply
    10,173.66x = 14,041.07 × 7,350.17
  4. Step 4: Simplify right side
    10,173.66x = 103,204,251.48
  5. Step 5: Solve for x
    x = 103,204,251.48/10,173.66
  6. Step 6: Final answer
    x = 10,144.26

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