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Finding the Fourth Proportional to 11,565.30, 17,342.82 and 5,323.80

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Solution

The fourth proportional to 11,565.30, 17,342.82 and 5,323.80 is: 7,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.30 : 17,342.82 = 5,323.80 : x
  2. Step 2: Convert to fraction form
    11,565.30/17,342.82 = 5,323.80/x
  3. Step 3: Cross multiply
    11,565.30x = 17,342.82 × 5,323.80
  4. Step 4: Simplify right side
    11,565.30x = 92,329,705.12
  5. Step 5: Solve for x
    x = 92,329,705.12/11,565.30
  6. Step 6: Final answer
    x = 7,983.34

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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.