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Finding the Fourth Proportional to 6,706.06, 10,010.05 and 6,218.17

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Solution

The fourth proportional to 6,706.06, 10,010.05 and 6,218.17 is: 9,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.06 : 10,010.05 = 6,218.17 : x
  2. Step 2: Convert to fraction form
    6,706.06/10,010.05 = 6,218.17/x
  3. Step 3: Cross multiply
    6,706.06x = 10,010.05 × 6,218.17
  4. Step 4: Simplify right side
    6,706.06x = 62,244,216.50
  5. Step 5: Solve for x
    x = 62,244,216.50/6,706.06
  6. Step 6: Final answer
    x = 9,281.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.