Home / 10,538.24-14,543.64-5,823.44

Finding the Fourth Proportional to 10,538.24, 14,543.64 and 5,823.44

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Solution

The fourth proportional to 10,538.24, 14,543.64 and 5,823.44 is: 8,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.24 : 14,543.64 = 5,823.44 : x
  2. Step 2: Convert to fraction form
    10,538.24/14,543.64 = 5,823.44/x
  3. Step 3: Cross multiply
    10,538.24x = 14,543.64 × 5,823.44
  4. Step 4: Simplify right side
    10,538.24x = 84,694,014.92
  5. Step 5: Solve for x
    x = 84,694,014.92/10,538.24
  6. Step 6: Final answer
    x = 8,036.83

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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.