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Finding the Fourth Proportional to 7,156.24, 10,734 and 1,962.12

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Solution

The fourth proportional to 7,156.24, 10,734 and 1,962.12 is: 2,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.24 : 10,734 = 1,962.12 : x
  2. Step 2: Convert to fraction form
    7,156.24/10,734 = 1,962.12/x
  3. Step 3: Cross multiply
    7,156.24x = 10,734 × 1,962.12
  4. Step 4: Simplify right side
    7,156.24x = 21,061,396.08
  5. Step 5: Solve for x
    x = 21,061,396.08/7,156.24
  6. Step 6: Final answer
    x = 2,943.08

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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.