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Finding the Fourth Proportional to 10,990.28, 16,478.10 and 5,712.32

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Solution

The fourth proportional to 10,990.28, 16,478.10 and 5,712.32 is: 8,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.28 : 16,478.10 = 5,712.32 : x
  2. Step 2: Convert to fraction form
    10,990.28/16,478.10 = 5,712.32/x
  3. Step 3: Cross multiply
    10,990.28x = 16,478.10 × 5,712.32
  4. Step 4: Simplify right side
    10,990.28x = 94,128,180.19
  5. Step 5: Solve for x
    x = 94,128,180.19/10,990.28
  6. Step 6: Final answer
    x = 8,564.68

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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.