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Finding the Fourth Proportional to 8,033.40, 12,054.42 and 7,742.52

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Solution

The fourth proportional to 8,033.40, 12,054.42 and 7,742.52 is: 11,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.40 : 12,054.42 = 7,742.52 : x
  2. Step 2: Convert to fraction form
    8,033.40/12,054.42 = 7,742.52/x
  3. Step 3: Cross multiply
    8,033.40x = 12,054.42 × 7,742.52
  4. Step 4: Simplify right side
    8,033.40x = 93,331,587.94
  5. Step 5: Solve for x
    x = 93,331,587.94/8,033.40
  6. Step 6: Final answer
    x = 11,617.94

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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.