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Finding the Fourth Proportional to 7,146.57, 10,719.86 and 2,984.31

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Solution

The fourth proportional to 7,146.57, 10,719.86 and 2,984.31 is: 4,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.57 : 10,719.86 = 2,984.31 : x
  2. Step 2: Convert to fraction form
    7,146.57/10,719.86 = 2,984.31/x
  3. Step 3: Cross multiply
    7,146.57x = 10,719.86 × 2,984.31
  4. Step 4: Simplify right side
    7,146.57x = 31,991,381.67
  5. Step 5: Solve for x
    x = 31,991,381.67/7,146.57
  6. Step 6: Final answer
    x = 4,476.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.