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Finding the Fourth Proportional to 7,666.46, 11,483.86 and 3,706.08

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Solution

The fourth proportional to 7,666.46, 11,483.86 and 3,706.08 is: 5,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.46 : 11,483.86 = 3,706.08 : x
  2. Step 2: Convert to fraction form
    7,666.46/11,483.86 = 3,706.08/x
  3. Step 3: Cross multiply
    7,666.46x = 11,483.86 × 3,706.08
  4. Step 4: Simplify right side
    7,666.46x = 42,560,103.87
  5. Step 5: Solve for x
    x = 42,560,103.87/7,666.46
  6. Step 6: Final answer
    x = 5,551.47

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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.