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Finding the Fourth Proportional to 10,768.72, 14,858.16 and 6,289.90

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Solution

The fourth proportional to 10,768.72, 14,858.16 and 6,289.90 is: 8,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.72 : 14,858.16 = 6,289.90 : x
  2. Step 2: Convert to fraction form
    10,768.72/14,858.16 = 6,289.90/x
  3. Step 3: Cross multiply
    10,768.72x = 14,858.16 × 6,289.90
  4. Step 4: Simplify right side
    10,768.72x = 93,456,340.58
  5. Step 5: Solve for x
    x = 93,456,340.58/10,768.72
  6. Step 6: Final answer
    x = 8,678.50

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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.