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Finding the Fourth Proportional to 8,056, 12,085.08 and 3,440.08

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Solution

The fourth proportional to 8,056, 12,085.08 and 3,440.08 is: 5,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056 : 12,085.08 = 3,440.08 : x
  2. Step 2: Convert to fraction form
    8,056/12,085.08 = 3,440.08/x
  3. Step 3: Cross multiply
    8,056x = 12,085.08 × 3,440.08
  4. Step 4: Simplify right side
    8,056x = 41,573,642.01
  5. Step 5: Solve for x
    x = 41,573,642.01/8,056
  6. Step 6: Final answer
    x = 5,160.58

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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.