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Finding the Fourth Proportional to 8,482.66, 11,706.10 and 5,124.86

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Solution

The fourth proportional to 8,482.66, 11,706.10 and 5,124.86 is: 7,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.66 : 11,706.10 = 5,124.86 : x
  2. Step 2: Convert to fraction form
    8,482.66/11,706.10 = 5,124.86/x
  3. Step 3: Cross multiply
    8,482.66x = 11,706.10 × 5,124.86
  4. Step 4: Simplify right side
    8,482.66x = 59,992,123.65
  5. Step 5: Solve for x
    x = 59,992,123.65/8,482.66
  6. Step 6: Final answer
    x = 7,072.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.