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Finding the Fourth Proportional to 8,346.50, 12,511.51 and 4,650.47

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Solution

The fourth proportional to 8,346.50, 12,511.51 and 4,650.47 is: 6,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.50 : 12,511.51 = 4,650.47 : x
  2. Step 2: Convert to fraction form
    8,346.50/12,511.51 = 4,650.47/x
  3. Step 3: Cross multiply
    8,346.50x = 12,511.51 × 4,650.47
  4. Step 4: Simplify right side
    8,346.50x = 58,184,327.73
  5. Step 5: Solve for x
    x = 58,184,327.73/8,346.50
  6. Step 6: Final answer
    x = 6,971.11

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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.