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Finding the Fourth Proportional to 8,181.54, 12,262.59 and 4,711.50

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Solution

The fourth proportional to 8,181.54, 12,262.59 and 4,711.50 is: 7,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.54 : 12,262.59 = 4,711.50 : x
  2. Step 2: Convert to fraction form
    8,181.54/12,262.59 = 4,711.50/x
  3. Step 3: Cross multiply
    8,181.54x = 12,262.59 × 4,711.50
  4. Step 4: Simplify right side
    8,181.54x = 57,775,192.79
  5. Step 5: Solve for x
    x = 57,775,192.79/8,181.54
  6. Step 6: Final answer
    x = 7,061.65

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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.