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Finding the Fourth Proportional to 7,264.74, 10,899 and 2,071.02

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Solution

The fourth proportional to 7,264.74, 10,899 and 2,071.02 is: 3,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.74 : 10,899 = 2,071.02 : x
  2. Step 2: Convert to fraction form
    7,264.74/10,899 = 2,071.02/x
  3. Step 3: Cross multiply
    7,264.74x = 10,899 × 2,071.02
  4. Step 4: Simplify right side
    7,264.74x = 22,572,046.98
  5. Step 5: Solve for x
    x = 22,572,046.98/7,264.74
  6. Step 6: Final answer
    x = 3,107.07

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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.