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Finding the Fourth Proportional to 8,057.04, 12,079.80 and 4,976.08

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Solution

The fourth proportional to 8,057.04, 12,079.80 and 4,976.08 is: 7,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.04 : 12,079.80 = 4,976.08 : x
  2. Step 2: Convert to fraction form
    8,057.04/12,079.80 = 4,976.08/x
  3. Step 3: Cross multiply
    8,057.04x = 12,079.80 × 4,976.08
  4. Step 4: Simplify right side
    8,057.04x = 60,110,051.18
  5. Step 5: Solve for x
    x = 60,110,051.18/8,057.04
  6. Step 6: Final answer
    x = 7,460.56

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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.