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Finding the Fourth Proportional to 11,509.52, 17,266.81 and 6,833.79

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Solution

The fourth proportional to 11,509.52, 17,266.81 and 6,833.79 is: 10,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.52 : 17,266.81 = 6,833.79 : x
  2. Step 2: Convert to fraction form
    11,509.52/17,266.81 = 6,833.79/x
  3. Step 3: Cross multiply
    11,509.52x = 17,266.81 × 6,833.79
  4. Step 4: Simplify right side
    11,509.52x = 117,997,753.51
  5. Step 5: Solve for x
    x = 117,997,753.51/11,509.52
  6. Step 6: Final answer
    x = 10,252.19

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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.