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Finding the Fourth Proportional to 7,166.46, 10,730.25 and 3,696.42

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Solution

The fourth proportional to 7,166.46, 10,730.25 and 3,696.42 is: 5,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.46 : 10,730.25 = 3,696.42 : x
  2. Step 2: Convert to fraction form
    7,166.46/10,730.25 = 3,696.42/x
  3. Step 3: Cross multiply
    7,166.46x = 10,730.25 × 3,696.42
  4. Step 4: Simplify right side
    7,166.46x = 39,663,510.71
  5. Step 5: Solve for x
    x = 39,663,510.71/7,166.46
  6. Step 6: Final answer
    x = 5,534.60

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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.