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Finding the Fourth Proportional to 7,764.70, 10,715.16 and 4,228

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Solution

The fourth proportional to 7,764.70, 10,715.16 and 4,228 is: 5,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.70 : 10,715.16 = 4,228 : x
  2. Step 2: Convert to fraction form
    7,764.70/10,715.16 = 4,228/x
  3. Step 3: Cross multiply
    7,764.70x = 10,715.16 × 4,228
  4. Step 4: Simplify right side
    7,764.70x = 45,303,696.48
  5. Step 5: Solve for x
    x = 45,303,696.48/7,764.70
  6. Step 6: Final answer
    x = 5,834.57

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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.