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Finding the Fourth Proportional to 10,538.67, 14,543.55 and 5,822.85

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Solution

The fourth proportional to 10,538.67, 14,543.55 and 5,822.85 is: 8,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.67 : 14,543.55 = 5,822.85 : x
  2. Step 2: Convert to fraction form
    10,538.67/14,543.55 = 5,822.85/x
  3. Step 3: Cross multiply
    10,538.67x = 14,543.55 × 5,822.85
  4. Step 4: Simplify right side
    10,538.67x = 84,684,910.12
  5. Step 5: Solve for x
    x = 84,684,910.12/10,538.67
  6. Step 6: Final answer
    x = 8,035.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.