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Finding the Fourth Proportional to 8,706.46, 12,013.77 and 4,929.82

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Solution

The fourth proportional to 8,706.46, 12,013.77 and 4,929.82 is: 6,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.46 : 12,013.77 = 4,929.82 : x
  2. Step 2: Convert to fraction form
    8,706.46/12,013.77 = 4,929.82/x
  3. Step 3: Cross multiply
    8,706.46x = 12,013.77 × 4,929.82
  4. Step 4: Simplify right side
    8,706.46x = 59,225,723.62
  5. Step 5: Solve for x
    x = 59,225,723.62/8,706.46
  6. Step 6: Final answer
    x = 6,802.50

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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.