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Finding the Fourth Proportional to 10,706.66, 16,061.71 and 3,684.95

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Solution

The fourth proportional to 10,706.66, 16,061.71 and 3,684.95 is: 5,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.66 : 16,061.71 = 3,684.95 : x
  2. Step 2: Convert to fraction form
    10,706.66/16,061.71 = 3,684.95/x
  3. Step 3: Cross multiply
    10,706.66x = 16,061.71 × 3,684.95
  4. Step 4: Simplify right side
    10,706.66x = 59,186,621.06
  5. Step 5: Solve for x
    x = 59,186,621.06/10,706.66
  6. Step 6: Final answer
    x = 5,528.02

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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.