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Finding the Fourth Proportional to 7,034.64, 10,553.40 and 2,354.10

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Solution

The fourth proportional to 7,034.64, 10,553.40 and 2,354.10 is: 3,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.64 : 10,553.40 = 2,354.10 : x
  2. Step 2: Convert to fraction form
    7,034.64/10,553.40 = 2,354.10/x
  3. Step 3: Cross multiply
    7,034.64x = 10,553.40 × 2,354.10
  4. Step 4: Simplify right side
    7,034.64x = 24,843,758.94
  5. Step 5: Solve for x
    x = 24,843,758.94/7,034.64
  6. Step 6: Final answer
    x = 3,531.63

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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.