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Finding the Fourth Proportional to 7,349.70, 10,142.06 and 4,162.08

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Solution

The fourth proportional to 7,349.70, 10,142.06 and 4,162.08 is: 5,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.70 : 10,142.06 = 4,162.08 : x
  2. Step 2: Convert to fraction form
    7,349.70/10,142.06 = 4,162.08/x
  3. Step 3: Cross multiply
    7,349.70x = 10,142.06 × 4,162.08
  4. Step 4: Simplify right side
    7,349.70x = 42,212,065.08
  5. Step 5: Solve for x
    x = 42,212,065.08/7,349.70
  6. Step 6: Final answer
    x = 5,743.37

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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.