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Finding the Fourth Proportional to 11,417.76, 17,129.68 and 4,844.32

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Solution

The fourth proportional to 11,417.76, 17,129.68 and 4,844.32 is: 7,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.76 : 17,129.68 = 4,844.32 : x
  2. Step 2: Convert to fraction form
    11,417.76/17,129.68 = 4,844.32/x
  3. Step 3: Cross multiply
    11,417.76x = 17,129.68 × 4,844.32
  4. Step 4: Simplify right side
    11,417.76x = 82,981,651.42
  5. Step 5: Solve for x
    x = 82,981,651.42/11,417.76
  6. Step 6: Final answer
    x = 7,267.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.