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Finding the Fourth Proportional to 12,087.86, 16,681.19 and 6,782.69

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Solution

The fourth proportional to 12,087.86, 16,681.19 and 6,782.69 is: 9,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.86 : 16,681.19 = 6,782.69 : x
  2. Step 2: Convert to fraction form
    12,087.86/16,681.19 = 6,782.69/x
  3. Step 3: Cross multiply
    12,087.86x = 16,681.19 × 6,782.69
  4. Step 4: Simplify right side
    12,087.86x = 113,143,223.28
  5. Step 5: Solve for x
    x = 113,143,223.28/12,087.86
  6. Step 6: Final answer
    x = 9,360.07

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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.