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Finding the Fourth Proportional to 11,847.69, 16,349.68 and 6,470.11

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Solution

The fourth proportional to 11,847.69, 16,349.68 and 6,470.11 is: 8,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.69 : 16,349.68 = 6,470.11 : x
  2. Step 2: Convert to fraction form
    11,847.69/16,349.68 = 6,470.11/x
  3. Step 3: Cross multiply
    11,847.69x = 16,349.68 × 6,470.11
  4. Step 4: Simplify right side
    11,847.69x = 105,784,228.06
  5. Step 5: Solve for x
    x = 105,784,228.06/11,847.69
  6. Step 6: Final answer
    x = 8,928.68

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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.