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Finding the Fourth Proportional to 7,706.43, 11,554.79 and 4,246.11

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Solution

The fourth proportional to 7,706.43, 11,554.79 and 4,246.11 is: 6,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.43 : 11,554.79 = 4,246.11 : x
  2. Step 2: Convert to fraction form
    7,706.43/11,554.79 = 4,246.11/x
  3. Step 3: Cross multiply
    7,706.43x = 11,554.79 × 4,246.11
  4. Step 4: Simplify right side
    7,706.43x = 49,062,888.14
  5. Step 5: Solve for x
    x = 49,062,888.14/7,706.43
  6. Step 6: Final answer
    x = 6,366.49

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Why These Related Problems?

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