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Finding the Fourth Proportional to 12,977.01, 17,908.32 and 7,870.82

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Solution

The fourth proportional to 12,977.01, 17,908.32 and 7,870.82 is: 10,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.01 : 17,908.32 = 7,870.82 : x
  2. Step 2: Convert to fraction form
    12,977.01/17,908.32 = 7,870.82/x
  3. Step 3: Cross multiply
    12,977.01x = 17,908.32 × 7,870.82
  4. Step 4: Simplify right side
    12,977.01x = 140,953,073.68
  5. Step 5: Solve for x
    x = 140,953,073.68/12,977.01
  6. Step 6: Final answer
    x = 10,861.75

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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.