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Finding the Fourth Proportional to 8,076.86, 12,110.74 and 3,140.85

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Solution

The fourth proportional to 8,076.86, 12,110.74 and 3,140.85 is: 4,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.86 : 12,110.74 = 3,140.85 : x
  2. Step 2: Convert to fraction form
    8,076.86/12,110.74 = 3,140.85/x
  3. Step 3: Cross multiply
    8,076.86x = 12,110.74 × 3,140.85
  4. Step 4: Simplify right side
    8,076.86x = 38,038,030.06
  5. Step 5: Solve for x
    x = 38,038,030.06/8,076.86
  6. Step 6: Final answer
    x = 4,709.50

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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.