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Finding the Fourth Proportional to 7,228.13, 10,842.20 and 1,756.13

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Solution

The fourth proportional to 7,228.13, 10,842.20 and 1,756.13 is: 2,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.13 : 10,842.20 = 1,756.13 : x
  2. Step 2: Convert to fraction form
    7,228.13/10,842.20 = 1,756.13/x
  3. Step 3: Cross multiply
    7,228.13x = 10,842.20 × 1,756.13
  4. Step 4: Simplify right side
    7,228.13x = 19,040,312.69
  5. Step 5: Solve for x
    x = 19,040,312.69/7,228.13
  6. Step 6: Final answer
    x = 2,634.20

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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.