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Finding the Fourth Proportional to 7,758.16, 10,706.26 and 4,221.37

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Solution

The fourth proportional to 7,758.16, 10,706.26 and 4,221.37 is: 5,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.16 : 10,706.26 = 4,221.37 : x
  2. Step 2: Convert to fraction form
    7,758.16/10,706.26 = 4,221.37/x
  3. Step 3: Cross multiply
    7,758.16x = 10,706.26 × 4,221.37
  4. Step 4: Simplify right side
    7,758.16x = 45,195,065.41
  5. Step 5: Solve for x
    x = 45,195,065.41/7,758.16
  6. Step 6: Final answer
    x = 5,825.49

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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.