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Finding the Fourth Proportional to 10,230.91, 15,346.36 and 3,656.69

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Solution

The fourth proportional to 10,230.91, 15,346.36 and 3,656.69 is: 5,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.91 : 15,346.36 = 3,656.69 : x
  2. Step 2: Convert to fraction form
    10,230.91/15,346.36 = 3,656.69/x
  3. Step 3: Cross multiply
    10,230.91x = 15,346.36 × 3,656.69
  4. Step 4: Simplify right side
    10,230.91x = 56,116,952.86
  5. Step 5: Solve for x
    x = 56,116,952.86/10,230.91
  6. Step 6: Final answer
    x = 5,485.04

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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.