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Finding the Fourth Proportional to 11,813.92, 17,719.38 and 7,417.96

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Solution

The fourth proportional to 11,813.92, 17,719.38 and 7,417.96 is: 11,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.92 : 17,719.38 = 7,417.96 : x
  2. Step 2: Convert to fraction form
    11,813.92/17,719.38 = 7,417.96/x
  3. Step 3: Cross multiply
    11,813.92x = 17,719.38 × 7,417.96
  4. Step 4: Simplify right side
    11,813.92x = 131,441,652.06
  5. Step 5: Solve for x
    x = 131,441,652.06/11,813.92
  6. Step 6: Final answer
    x = 11,126.00

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Why These Related Problems?

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