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Finding the Fourth Proportional to 8,048.19, 12,064.95 and 5,965.68

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Solution

The fourth proportional to 8,048.19, 12,064.95 and 5,965.68 is: 8,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.19 : 12,064.95 = 5,965.68 : x
  2. Step 2: Convert to fraction form
    8,048.19/12,064.95 = 5,965.68/x
  3. Step 3: Cross multiply
    8,048.19x = 12,064.95 × 5,965.68
  4. Step 4: Simplify right side
    8,048.19x = 71,975,630.92
  5. Step 5: Solve for x
    x = 71,975,630.92/8,048.19
  6. Step 6: Final answer
    x = 8,943.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.