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Finding the Fourth Proportional to 12,475.91, 17,216.06 and 7,097.63

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Solution

The fourth proportional to 12,475.91, 17,216.06 and 7,097.63 is: 9,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.91 : 17,216.06 = 7,097.63 : x
  2. Step 2: Convert to fraction form
    12,475.91/17,216.06 = 7,097.63/x
  3. Step 3: Cross multiply
    12,475.91x = 17,216.06 × 7,097.63
  4. Step 4: Simplify right side
    12,475.91x = 122,193,102.37
  5. Step 5: Solve for x
    x = 122,193,102.37/12,475.91
  6. Step 6: Final answer
    x = 9,794.32

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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.