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Finding the Fourth Proportional to 8,484.62, 12,715.95 and 4,736.31

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Solution

The fourth proportional to 8,484.62, 12,715.95 and 4,736.31 is: 7,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.62 : 12,715.95 = 4,736.31 : x
  2. Step 2: Convert to fraction form
    8,484.62/12,715.95 = 4,736.31/x
  3. Step 3: Cross multiply
    8,484.62x = 12,715.95 × 4,736.31
  4. Step 4: Simplify right side
    8,484.62x = 60,226,659.64
  5. Step 5: Solve for x
    x = 60,226,659.64/8,484.62
  6. Step 6: Final answer
    x = 7,098.33

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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.