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Finding the Fourth Proportional to 7,772.08, 10,706.70 and 6,422.06

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Solution

The fourth proportional to 7,772.08, 10,706.70 and 6,422.06 is: 8,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.08 : 10,706.70 = 6,422.06 : x
  2. Step 2: Convert to fraction form
    7,772.08/10,706.70 = 6,422.06/x
  3. Step 3: Cross multiply
    7,772.08x = 10,706.70 × 6,422.06
  4. Step 4: Simplify right side
    7,772.08x = 68,758,984.16
  5. Step 5: Solve for x
    x = 68,758,984.16/7,772.08
  6. Step 6: Final answer
    x = 8,846.93

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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.