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Finding the Fourth Proportional to 7,153.65, 10,729.33 and 1,958.31

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Solution

The fourth proportional to 7,153.65, 10,729.33 and 1,958.31 is: 2,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.65 : 10,729.33 = 1,958.31 : x
  2. Step 2: Convert to fraction form
    7,153.65/10,729.33 = 1,958.31/x
  3. Step 3: Cross multiply
    7,153.65x = 10,729.33 × 1,958.31
  4. Step 4: Simplify right side
    7,153.65x = 21,011,349.34
  5. Step 5: Solve for x
    x = 21,011,349.34/7,153.65
  6. Step 6: Final answer
    x = 2,937.15

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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.