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Finding the Fourth Proportional to 8,135.42, 12,210.15 and 3,978.50

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Solution

The fourth proportional to 8,135.42, 12,210.15 and 3,978.50 is: 5,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.42 : 12,210.15 = 3,978.50 : x
  2. Step 2: Convert to fraction form
    8,135.42/12,210.15 = 3,978.50/x
  3. Step 3: Cross multiply
    8,135.42x = 12,210.15 × 3,978.50
  4. Step 4: Simplify right side
    8,135.42x = 48,578,081.78
  5. Step 5: Solve for x
    x = 48,578,081.78/8,135.42
  6. Step 6: Final answer
    x = 5,971.18

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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.