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Finding the Fourth Proportional to 7,097.12, 10,650.36 and 2,480

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Solution

The fourth proportional to 7,097.12, 10,650.36 and 2,480 is: 3,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.12 : 10,650.36 = 2,480 : x
  2. Step 2: Convert to fraction form
    7,097.12/10,650.36 = 2,480/x
  3. Step 3: Cross multiply
    7,097.12x = 10,650.36 × 2,480
  4. Step 4: Simplify right side
    7,097.12x = 26,412,892.80
  5. Step 5: Solve for x
    x = 26,412,892.80/7,097.12
  6. Step 6: Final answer
    x = 3,721.64

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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.