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Finding the Fourth Proportional to 12,087.77, 16,681.05 and 6,782.47

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Solution

The fourth proportional to 12,087.77, 16,681.05 and 6,782.47 is: 9,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.77 : 16,681.05 = 6,782.47 : x
  2. Step 2: Convert to fraction form
    12,087.77/16,681.05 = 6,782.47/x
  3. Step 3: Cross multiply
    12,087.77x = 16,681.05 × 6,782.47
  4. Step 4: Simplify right side
    12,087.77x = 113,138,679.49
  5. Step 5: Solve for x
    x = 113,138,679.49/12,087.77
  6. Step 6: Final answer
    x = 9,359.77

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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.