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Finding the Fourth Proportional to 8,039.04, 12,041.73 and 5,102.79

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Solution

The fourth proportional to 8,039.04, 12,041.73 and 5,102.79 is: 7,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.04 : 12,041.73 = 5,102.79 : x
  2. Step 2: Convert to fraction form
    8,039.04/12,041.73 = 5,102.79/x
  3. Step 3: Cross multiply
    8,039.04x = 12,041.73 × 5,102.79
  4. Step 4: Simplify right side
    8,039.04x = 61,446,419.43
  5. Step 5: Solve for x
    x = 61,446,419.43/8,039.04
  6. Step 6: Final answer
    x = 7,643.50

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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.