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Finding the Fourth Proportional to 8,080.49, 12,041.39 and 7,816.23

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Solution

The fourth proportional to 8,080.49, 12,041.39 and 7,816.23 is: 11,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,080.49 : 12,041.39 = 7,816.23 : x
  2. Step 2: Convert to fraction form
    8,080.49/12,041.39 = 7,816.23/x
  3. Step 3: Cross multiply
    8,080.49x = 12,041.39 × 7,816.23
  4. Step 4: Simplify right side
    8,080.49x = 94,118,293.30
  5. Step 5: Solve for x
    x = 94,118,293.30/8,080.49
  6. Step 6: Final answer
    x = 11,647.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.