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Finding the Fourth Proportional to 7,097.16, 10,645.74 and 3,200.52

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Solution

The fourth proportional to 7,097.16, 10,645.74 and 3,200.52 is: 4,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.16 : 10,645.74 = 3,200.52 : x
  2. Step 2: Convert to fraction form
    7,097.16/10,645.74 = 3,200.52/x
  3. Step 3: Cross multiply
    7,097.16x = 10,645.74 × 3,200.52
  4. Step 4: Simplify right side
    7,097.16x = 34,071,903.78
  5. Step 5: Solve for x
    x = 34,071,903.78/7,097.16
  6. Step 6: Final answer
    x = 4,800.78

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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.