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Finding the Fourth Proportional to 12,464.40, 17,201.08 and 6,799.18

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Solution

The fourth proportional to 12,464.40, 17,201.08 and 6,799.18 is: 9,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.40 : 17,201.08 = 6,799.18 : x
  2. Step 2: Convert to fraction form
    12,464.40/17,201.08 = 6,799.18/x
  3. Step 3: Cross multiply
    12,464.40x = 17,201.08 × 6,799.18
  4. Step 4: Simplify right side
    12,464.40x = 116,953,239.11
  5. Step 5: Solve for x
    x = 116,953,239.11/12,464.40
  6. Step 6: Final answer
    x = 9,382.98

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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.