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Finding the Fourth Proportional to 11,819.64, 16,318.69 and 7,349.47

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Solution

The fourth proportional to 11,819.64, 16,318.69 and 7,349.47 is: 10,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.64 : 16,318.69 = 7,349.47 : x
  2. Step 2: Convert to fraction form
    11,819.64/16,318.69 = 7,349.47/x
  3. Step 3: Cross multiply
    11,819.64x = 16,318.69 × 7,349.47
  4. Step 4: Simplify right side
    11,819.64x = 119,933,641.00
  5. Step 5: Solve for x
    x = 119,933,641.00/11,819.64
  6. Step 6: Final answer
    x = 10,146.98

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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.