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Finding the Fourth Proportional to 10,657.39, 14,706.66 and 5,940.76

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Solution

The fourth proportional to 10,657.39, 14,706.66 and 5,940.76 is: 8,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.39 : 14,706.66 = 5,940.76 : x
  2. Step 2: Convert to fraction form
    10,657.39/14,706.66 = 5,940.76/x
  3. Step 3: Cross multiply
    10,657.39x = 14,706.66 × 5,940.76
  4. Step 4: Simplify right side
    10,657.39x = 87,368,737.46
  5. Step 5: Solve for x
    x = 87,368,737.46/10,657.39
  6. Step 6: Final answer
    x = 8,197.95

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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.