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Finding the Fourth Proportional to 12,845.40, 17,727.90 and 7,808.52

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Solution

The fourth proportional to 12,845.40, 17,727.90 and 7,808.52 is: 10,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845.40 : 17,727.90 = 7,808.52 : x
  2. Step 2: Convert to fraction form
    12,845.40/17,727.90 = 7,808.52/x
  3. Step 3: Cross multiply
    12,845.40x = 17,727.90 × 7,808.52
  4. Step 4: Simplify right side
    12,845.40x = 138,428,661.71
  5. Step 5: Solve for x
    x = 138,428,661.71/12,845.40
  6. Step 6: Final answer
    x = 10,776.52

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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.