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Finding the Fourth Proportional to 7,758.25, 10,706.46 and 4,221.46

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Solution

The fourth proportional to 7,758.25, 10,706.46 and 4,221.46 is: 5,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.25 : 10,706.46 = 4,221.46 : x
  2. Step 2: Convert to fraction form
    7,758.25/10,706.46 = 4,221.46/x
  3. Step 3: Cross multiply
    7,758.25x = 10,706.46 × 4,221.46
  4. Step 4: Simplify right side
    7,758.25x = 45,196,892.63
  5. Step 5: Solve for x
    x = 45,196,892.63/7,758.25
  6. Step 6: Final answer
    x = 5,825.66

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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.