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Finding the Fourth Proportional to 7,097.76, 10,648.26 and 2,168.10

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Solution

The fourth proportional to 7,097.76, 10,648.26 and 2,168.10 is: 3,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.76 : 10,648.26 = 2,168.10 : x
  2. Step 2: Convert to fraction form
    7,097.76/10,648.26 = 2,168.10/x
  3. Step 3: Cross multiply
    7,097.76x = 10,648.26 × 2,168.10
  4. Step 4: Simplify right side
    7,097.76x = 23,086,492.51
  5. Step 5: Solve for x
    x = 23,086,492.51/7,097.76
  6. Step 6: Final answer
    x = 3,252.64

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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.