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Finding the Fourth Proportional to 7,260.12, 10,894.74 and 2,643

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Solution

The fourth proportional to 7,260.12, 10,894.74 and 2,643 is: 3,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.12 : 10,894.74 = 2,643 : x
  2. Step 2: Convert to fraction form
    7,260.12/10,894.74 = 2,643/x
  3. Step 3: Cross multiply
    7,260.12x = 10,894.74 × 2,643
  4. Step 4: Simplify right side
    7,260.12x = 28,794,797.82
  5. Step 5: Solve for x
    x = 28,794,797.82/7,260.12
  6. Step 6: Final answer
    x = 3,966.16

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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.