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Finding the Fourth Proportional to 7,764.95, 10,715.75 and 4,228.16

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Solution

The fourth proportional to 7,764.95, 10,715.75 and 4,228.16 is: 5,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.95 : 10,715.75 = 4,228.16 : x
  2. Step 2: Convert to fraction form
    7,764.95/10,715.75 = 4,228.16/x
  3. Step 3: Cross multiply
    7,764.95x = 10,715.75 × 4,228.16
  4. Step 4: Simplify right side
    7,764.95x = 45,307,846.66
  5. Step 5: Solve for x
    x = 45,307,846.66/7,764.95
  6. Step 6: Final answer
    x = 5,834.92

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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.