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Finding the Fourth Proportional to 7,931.14, 10,945.07 and 4,346.20

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Solution

The fourth proportional to 7,931.14, 10,945.07 and 4,346.20 is: 5,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.14 : 10,945.07 = 4,346.20 : x
  2. Step 2: Convert to fraction form
    7,931.14/10,945.07 = 4,346.20/x
  3. Step 3: Cross multiply
    7,931.14x = 10,945.07 × 4,346.20
  4. Step 4: Simplify right side
    7,931.14x = 47,569,463.23
  5. Step 5: Solve for x
    x = 47,569,463.23/7,931.14
  6. Step 6: Final answer
    x = 5,997.81

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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.