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Finding the Fourth Proportional to 12,758.59, 17,605.93 and 7,980.69

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Solution

The fourth proportional to 12,758.59, 17,605.93 and 7,980.69 is: 11,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.59 : 17,605.93 = 7,980.69 : x
  2. Step 2: Convert to fraction form
    12,758.59/17,605.93 = 7,980.69/x
  3. Step 3: Cross multiply
    12,758.59x = 17,605.93 × 7,980.69
  4. Step 4: Simplify right side
    12,758.59x = 140,507,469.49
  5. Step 5: Solve for x
    x = 140,507,469.49/12,758.59
  6. Step 6: Final answer
    x = 11,012.77

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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.