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Finding the Fourth Proportional to 7,709.15, 10,638 and 4,724.57

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Solution

The fourth proportional to 7,709.15, 10,638 and 4,724.57 is: 6,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.15 : 10,638 = 4,724.57 : x
  2. Step 2: Convert to fraction form
    7,709.15/10,638 = 4,724.57/x
  3. Step 3: Cross multiply
    7,709.15x = 10,638 × 4,724.57
  4. Step 4: Simplify right side
    7,709.15x = 50,259,922.47
  5. Step 5: Solve for x
    x = 50,259,922.47/7,709.15
  6. Step 6: Final answer
    x = 6,519.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.