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Finding the Fourth Proportional to 7,847.84, 10,835.08 and 4,866.84

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Solution

The fourth proportional to 7,847.84, 10,835.08 and 4,866.84 is: 6,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.84 : 10,835.08 = 4,866.84 : x
  2. Step 2: Convert to fraction form
    7,847.84/10,835.08 = 4,866.84/x
  3. Step 3: Cross multiply
    7,847.84x = 10,835.08 × 4,866.84
  4. Step 4: Simplify right side
    7,847.84x = 52,732,600.75
  5. Step 5: Solve for x
    x = 52,732,600.75/7,847.84
  6. Step 6: Final answer
    x = 6,719.38

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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.