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Finding the Fourth Proportional to 12,074.16, 16,661.64 and 6,768

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Solution

The fourth proportional to 12,074.16, 16,661.64 and 6,768 is: 9,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.16 : 16,661.64 = 6,768 : x
  2. Step 2: Convert to fraction form
    12,074.16/16,661.64 = 6,768/x
  3. Step 3: Cross multiply
    12,074.16x = 16,661.64 × 6,768
  4. Step 4: Simplify right side
    12,074.16x = 112,765,979.52
  5. Step 5: Solve for x
    x = 112,765,979.52/12,074.16
  6. Step 6: Final answer
    x = 9,339.45

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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.