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Finding the Fourth Proportional to 12,086.81, 16,681.53 and 6,710.48

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Solution

The fourth proportional to 12,086.81, 16,681.53 and 6,710.48 is: 9,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.81 : 16,681.53 = 6,710.48 : x
  2. Step 2: Convert to fraction form
    12,086.81/16,681.53 = 6,710.48/x
  3. Step 3: Cross multiply
    12,086.81x = 16,681.53 × 6,710.48
  4. Step 4: Simplify right side
    12,086.81x = 111,941,073.43
  5. Step 5: Solve for x
    x = 111,941,073.43/12,086.81
  6. Step 6: Final answer
    x = 9,261.42

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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.