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Finding the Fourth Proportional to 11,842.05, 16,339.06 and 6,807.70

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Solution

The fourth proportional to 11,842.05, 16,339.06 and 6,807.70 is: 9,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.05 : 16,339.06 = 6,807.70 : x
  2. Step 2: Convert to fraction form
    11,842.05/16,339.06 = 6,807.70/x
  3. Step 3: Cross multiply
    11,842.05x = 16,339.06 × 6,807.70
  4. Step 4: Simplify right side
    11,842.05x = 111,231,418.76
  5. Step 5: Solve for x
    x = 111,231,418.76/11,842.05
  6. Step 6: Final answer
    x = 9,392.92

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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.