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Finding the Fourth Proportional to 10,774.60, 16,162.28 and 2,984

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Solution

The fourth proportional to 10,774.60, 16,162.28 and 2,984 is: 4,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.60 : 16,162.28 = 2,984 : x
  2. Step 2: Convert to fraction form
    10,774.60/16,162.28 = 2,984/x
  3. Step 3: Cross multiply
    10,774.60x = 16,162.28 × 2,984
  4. Step 4: Simplify right side
    10,774.60x = 48,228,243.52
  5. Step 5: Solve for x
    x = 48,228,243.52/10,774.60
  6. Step 6: Final answer
    x = 4,476.11

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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.