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Finding the Fourth Proportional to 11,866.86, 16,377.04 and 6,561.72

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Solution

The fourth proportional to 11,866.86, 16,377.04 and 6,561.72 is: 9,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.86 : 16,377.04 = 6,561.72 : x
  2. Step 2: Convert to fraction form
    11,866.86/16,377.04 = 6,561.72/x
  3. Step 3: Cross multiply
    11,866.86x = 16,377.04 × 6,561.72
  4. Step 4: Simplify right side
    11,866.86x = 107,461,550.91
  5. Step 5: Solve for x
    x = 107,461,550.91/11,866.86
  6. Step 6: Final answer
    x = 9,055.60

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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.