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Finding the Fourth Proportional to 7,102.23, 10,651.02 and 2,357.30

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Solution

The fourth proportional to 7,102.23, 10,651.02 and 2,357.30 is: 3,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.23 : 10,651.02 = 2,357.30 : x
  2. Step 2: Convert to fraction form
    7,102.23/10,651.02 = 2,357.30/x
  3. Step 3: Cross multiply
    7,102.23x = 10,651.02 × 2,357.30
  4. Step 4: Simplify right side
    7,102.23x = 25,107,673.86
  5. Step 5: Solve for x
    x = 25,107,673.86/7,102.23
  6. Step 6: Final answer
    x = 3,535.18

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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.