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Finding the Fourth Proportional to 10,805.42, 16,210.74 and 5,538.26

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Solution

The fourth proportional to 10,805.42, 16,210.74 and 5,538.26 is: 8,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.42 : 16,210.74 = 5,538.26 : x
  2. Step 2: Convert to fraction form
    10,805.42/16,210.74 = 5,538.26/x
  3. Step 3: Cross multiply
    10,805.42x = 16,210.74 × 5,538.26
  4. Step 4: Simplify right side
    10,805.42x = 89,779,292.91
  5. Step 5: Solve for x
    x = 89,779,292.91/10,805.42
  6. Step 6: Final answer
    x = 8,308.73

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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.