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Finding the Fourth Proportional to 6,705.95, 10,061.66 and 5,401.95

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Solution

The fourth proportional to 6,705.95, 10,061.66 and 5,401.95 is: 8,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.95 : 10,061.66 = 5,401.95 : x
  2. Step 2: Convert to fraction form
    6,705.95/10,061.66 = 5,401.95/x
  3. Step 3: Cross multiply
    6,705.95x = 10,061.66 × 5,401.95
  4. Step 4: Simplify right side
    6,705.95x = 54,352,584.24
  5. Step 5: Solve for x
    x = 54,352,584.24/6,705.95
  6. Step 6: Final answer
    x = 8,105.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.