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Finding the Fourth Proportional to 11,230.86, 15,497.76 and 6,449.82

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Solution

The fourth proportional to 11,230.86, 15,497.76 and 6,449.82 is: 8,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.86 : 15,497.76 = 6,449.82 : x
  2. Step 2: Convert to fraction form
    11,230.86/15,497.76 = 6,449.82/x
  3. Step 3: Cross multiply
    11,230.86x = 15,497.76 × 6,449.82
  4. Step 4: Simplify right side
    11,230.86x = 99,957,762.40
  5. Step 5: Solve for x
    x = 99,957,762.40/11,230.86
  6. Step 6: Final answer
    x = 8,900.28

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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.