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Finding the Fourth Proportional to 11,535.74, 15,919.47 and 6,819.98

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Solution

The fourth proportional to 11,535.74, 15,919.47 and 6,819.98 is: 9,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.74 : 15,919.47 = 6,819.98 : x
  2. Step 2: Convert to fraction form
    11,535.74/15,919.47 = 6,819.98/x
  3. Step 3: Cross multiply
    11,535.74x = 15,919.47 × 6,819.98
  4. Step 4: Simplify right side
    11,535.74x = 108,570,467.01
  5. Step 5: Solve for x
    x = 108,570,467.01/11,535.74
  6. Step 6: Final answer
    x = 9,411.66

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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.