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Finding the Fourth Proportional to 12,870.45, 17,761.41 and 7,834.88

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Solution

The fourth proportional to 12,870.45, 17,761.41 and 7,834.88 is: 10,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.45 : 17,761.41 = 7,834.88 : x
  2. Step 2: Convert to fraction form
    12,870.45/17,761.41 = 7,834.88/x
  3. Step 3: Cross multiply
    12,870.45x = 17,761.41 × 7,834.88
  4. Step 4: Simplify right side
    12,870.45x = 139,158,560.38
  5. Step 5: Solve for x
    x = 139,158,560.38/12,870.45
  6. Step 6: Final answer
    x = 10,812.25

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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.