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Finding the Fourth Proportional to 12,358.72, 17,054.40 and 6,768.64

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Solution

The fourth proportional to 12,358.72, 17,054.40 and 6,768.64 is: 9,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.72 : 17,054.40 = 6,768.64 : x
  2. Step 2: Convert to fraction form
    12,358.72/17,054.40 = 6,768.64/x
  3. Step 3: Cross multiply
    12,358.72x = 17,054.40 × 6,768.64
  4. Step 4: Simplify right side
    12,358.72x = 115,435,094.02
  5. Step 5: Solve for x
    x = 115,435,094.02/12,358.72
  6. Step 6: Final answer
    x = 9,340.38

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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.