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Finding the Fourth Proportional to 11,622.80, 16,036.81 and 6,585.86

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Solution

The fourth proportional to 11,622.80, 16,036.81 and 6,585.86 is: 9,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.80 : 16,036.81 = 6,585.86 : x
  2. Step 2: Convert to fraction form
    11,622.80/16,036.81 = 6,585.86/x
  3. Step 3: Cross multiply
    11,622.80x = 16,036.81 × 6,585.86
  4. Step 4: Simplify right side
    11,622.80x = 105,616,209.13
  5. Step 5: Solve for x
    x = 105,616,209.13/11,622.80
  6. Step 6: Final answer
    x = 9,086.98

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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.