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Finding the Fourth Proportional to 10,538.66, 15,815.78 and 4,992.02

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Solution

The fourth proportional to 10,538.66, 15,815.78 and 4,992.02 is: 7,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.66 : 15,815.78 = 4,992.02 : x
  2. Step 2: Convert to fraction form
    10,538.66/15,815.78 = 4,992.02/x
  3. Step 3: Cross multiply
    10,538.66x = 15,815.78 × 4,992.02
  4. Step 4: Simplify right side
    10,538.66x = 78,952,647.66
  5. Step 5: Solve for x
    x = 78,952,647.66/10,538.66
  6. Step 6: Final answer
    x = 7,491.72

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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.