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Finding the Fourth Proportional to 12,937.75, 17,856.26 and 7,633.87

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Solution

The fourth proportional to 12,937.75, 17,856.26 and 7,633.87 is: 10,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.75 : 17,856.26 = 7,633.87 : x
  2. Step 2: Convert to fraction form
    12,937.75/17,856.26 = 7,633.87/x
  3. Step 3: Cross multiply
    12,937.75x = 17,856.26 × 7,633.87
  4. Step 4: Simplify right side
    12,937.75x = 136,312,367.53
  5. Step 5: Solve for x
    x = 136,312,367.53/12,937.75
  6. Step 6: Final answer
    x = 10,536.02

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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.