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Finding the Fourth Proportional to 10,774.76, 14,863.10 and 6,789.02

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Solution

The fourth proportional to 10,774.76, 14,863.10 and 6,789.02 is: 9,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.76 : 14,863.10 = 6,789.02 : x
  2. Step 2: Convert to fraction form
    10,774.76/14,863.10 = 6,789.02/x
  3. Step 3: Cross multiply
    10,774.76x = 14,863.10 × 6,789.02
  4. Step 4: Simplify right side
    10,774.76x = 100,905,774.90
  5. Step 5: Solve for x
    x = 100,905,774.90/10,774.76
  6. Step 6: Final answer
    x = 9,365.02

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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.