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Finding the Fourth Proportional to 7,945.62, 10,970 and 5,114.06

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Solution

The fourth proportional to 7,945.62, 10,970 and 5,114.06 is: 7,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.62 : 10,970 = 5,114.06 : x
  2. Step 2: Convert to fraction form
    7,945.62/10,970 = 5,114.06/x
  3. Step 3: Cross multiply
    7,945.62x = 10,970 × 5,114.06
  4. Step 4: Simplify right side
    7,945.62x = 56,101,238.20
  5. Step 5: Solve for x
    x = 56,101,238.20/7,945.62
  6. Step 6: Final answer
    x = 7,060.65

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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.