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Finding the Fourth Proportional to 7,758.07, 10,706.25 and 4,772.14

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Solution

The fourth proportional to 7,758.07, 10,706.25 and 4,772.14 is: 6,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.07 : 10,706.25 = 4,772.14 : x
  2. Step 2: Convert to fraction form
    7,758.07/10,706.25 = 4,772.14/x
  3. Step 3: Cross multiply
    7,758.07x = 10,706.25 × 4,772.14
  4. Step 4: Simplify right side
    7,758.07x = 51,091,723.88
  5. Step 5: Solve for x
    x = 51,091,723.88/7,758.07
  6. Step 6: Final answer
    x = 6,585.62

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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.