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Finding the Fourth Proportional to 8,743.36, 12,074.38 and 7,477.08

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Solution

The fourth proportional to 8,743.36, 12,074.38 and 7,477.08 is: 10,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743.36 : 12,074.38 = 7,477.08 : x
  2. Step 2: Convert to fraction form
    8,743.36/12,074.38 = 7,477.08/x
  3. Step 3: Cross multiply
    8,743.36x = 12,074.38 × 7,477.08
  4. Step 4: Simplify right side
    8,743.36x = 90,281,105.21
  5. Step 5: Solve for x
    x = 90,281,105.21/8,743.36
  6. Step 6: Final answer
    x = 10,325.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.