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Finding the Fourth Proportional to 11,242.30, 16,859.40 and 5,693.80

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Solution

The fourth proportional to 11,242.30, 16,859.40 and 5,693.80 is: 8,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.30 : 16,859.40 = 5,693.80 : x
  2. Step 2: Convert to fraction form
    11,242.30/16,859.40 = 5,693.80/x
  3. Step 3: Cross multiply
    11,242.30x = 16,859.40 × 5,693.80
  4. Step 4: Simplify right side
    11,242.30x = 95,994,051.72
  5. Step 5: Solve for x
    x = 95,994,051.72/11,242.30
  6. Step 6: Final answer
    x = 8,538.65

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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.