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Finding the Fourth Proportional to 7,266.24, 10,892.70 and 2,646

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Solution

The fourth proportional to 7,266.24, 10,892.70 and 2,646 is: 3,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.24 : 10,892.70 = 2,646 : x
  2. Step 2: Convert to fraction form
    7,266.24/10,892.70 = 2,646/x
  3. Step 3: Cross multiply
    7,266.24x = 10,892.70 × 2,646
  4. Step 4: Simplify right side
    7,266.24x = 28,822,084.20
  5. Step 5: Solve for x
    x = 28,822,084.20/7,266.24
  6. Step 6: Final answer
    x = 3,966.57

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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.