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Finding the Fourth Proportional to 12,868.47, 17,761.25 and 7,834.35

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Solution

The fourth proportional to 12,868.47, 17,761.25 and 7,834.35 is: 10,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.47 : 17,761.25 = 7,834.35 : x
  2. Step 2: Convert to fraction form
    12,868.47/17,761.25 = 7,834.35/x
  3. Step 3: Cross multiply
    12,868.47x = 17,761.25 × 7,834.35
  4. Step 4: Simplify right side
    12,868.47x = 139,147,848.94
  5. Step 5: Solve for x
    x = 139,147,848.94/12,868.47
  6. Step 6: Final answer
    x = 10,813.08

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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.