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Finding the Fourth Proportional to 10,000.30, 13,800.11 and 5,462.91

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Solution

The fourth proportional to 10,000.30, 13,800.11 and 5,462.91 is: 7,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.30 : 13,800.11 = 5,462.91 : x
  2. Step 2: Convert to fraction form
    10,000.30/13,800.11 = 5,462.91/x
  3. Step 3: Cross multiply
    10,000.30x = 13,800.11 × 5,462.91
  4. Step 4: Simplify right side
    10,000.30x = 75,388,731.61
  5. Step 5: Solve for x
    x = 75,388,731.61/10,000.30
  6. Step 6: Final answer
    x = 7,538.65

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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.