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Finding the Fourth Proportional to 11,429.64, 15,778.65 and 10,819.17

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Solution

The fourth proportional to 11,429.64, 15,778.65 and 10,819.17 is: 14,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.64 : 15,778.65 = 10,819.17 : x
  2. Step 2: Convert to fraction form
    11,429.64/15,778.65 = 10,819.17/x
  3. Step 3: Cross multiply
    11,429.64x = 15,778.65 × 10,819.17
  4. Step 4: Simplify right side
    11,429.64x = 170,711,896.72
  5. Step 5: Solve for x
    x = 170,711,896.72/11,429.64
  6. Step 6: Final answer
    x = 14,935.89

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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.