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Finding the Fourth Proportional to 11,337, 17,006.48 and 3,129

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Solution

The fourth proportional to 11,337, 17,006.48 and 3,129 is: 4,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337 : 17,006.48 = 3,129 : x
  2. Step 2: Convert to fraction form
    11,337/17,006.48 = 3,129/x
  3. Step 3: Cross multiply
    11,337x = 17,006.48 × 3,129
  4. Step 4: Simplify right side
    11,337x = 53,213,275.92
  5. Step 5: Solve for x
    x = 53,213,275.92/11,337
  6. Step 6: Final answer
    x = 4,693.77

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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.