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Finding the Fourth Proportional to 12,525.11, 17,284.85 and 6,859.76

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Solution

The fourth proportional to 12,525.11, 17,284.85 and 6,859.76 is: 9,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,525.11 : 17,284.85 = 6,859.76 : x
  2. Step 2: Convert to fraction form
    12,525.11/17,284.85 = 6,859.76/x
  3. Step 3: Cross multiply
    12,525.11x = 17,284.85 × 6,859.76
  4. Step 4: Simplify right side
    12,525.11x = 118,569,879.42
  5. Step 5: Solve for x
    x = 118,569,879.42/12,525.11
  6. Step 6: Final answer
    x = 9,466.57

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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.