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Finding the Fourth Proportional to 12,464.57, 17,201.12 and 6,875.57

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Solution

The fourth proportional to 12,464.57, 17,201.12 and 6,875.57 is: 9,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.57 : 17,201.12 = 6,875.57 : x
  2. Step 2: Convert to fraction form
    12,464.57/17,201.12 = 6,875.57/x
  3. Step 3: Cross multiply
    12,464.57x = 17,201.12 × 6,875.57
  4. Step 4: Simplify right side
    12,464.57x = 118,267,513.26
  5. Step 5: Solve for x
    x = 118,267,513.26/12,464.57
  6. Step 6: Final answer
    x = 9,488.29

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