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Finding the Fourth Proportional to 10,704.20, 14,774.76 and 6,228.82

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Solution

The fourth proportional to 10,704.20, 14,774.76 and 6,228.82 is: 8,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.20 : 14,774.76 = 6,228.82 : x
  2. Step 2: Convert to fraction form
    10,704.20/14,774.76 = 6,228.82/x
  3. Step 3: Cross multiply
    10,704.20x = 14,774.76 × 6,228.82
  4. Step 4: Simplify right side
    10,704.20x = 92,029,320.58
  5. Step 5: Solve for x
    x = 92,029,320.58/10,704.20
  6. Step 6: Final answer
    x = 8,597.50

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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.