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Finding the Fourth Proportional to 7,225, 10,819.14 and 6,559.36

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Solution

The fourth proportional to 7,225, 10,819.14 and 6,559.36 is: 9,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225 : 10,819.14 = 6,559.36 : x
  2. Step 2: Convert to fraction form
    7,225/10,819.14 = 6,559.36/x
  3. Step 3: Cross multiply
    7,225x = 10,819.14 × 6,559.36
  4. Step 4: Simplify right side
    7,225x = 70,966,634.15
  5. Step 5: Solve for x
    x = 70,966,634.15/7,225
  6. Step 6: Final answer
    x = 9,822.37

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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.