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Finding the Fourth Proportional to 11,464.77, 15,824.20 and 6,990.99

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Solution

The fourth proportional to 11,464.77, 15,824.20 and 6,990.99 is: 9,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.77 : 15,824.20 = 6,990.99 : x
  2. Step 2: Convert to fraction form
    11,464.77/15,824.20 = 6,990.99/x
  3. Step 3: Cross multiply
    11,464.77x = 15,824.20 × 6,990.99
  4. Step 4: Simplify right side
    11,464.77x = 110,626,823.96
  5. Step 5: Solve for x
    x = 110,626,823.96/11,464.77
  6. Step 6: Final answer
    x = 9,649.28

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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.