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Finding the Fourth Proportional to 10,356.92, 14,297.41 and 6,106.65

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Solution

The fourth proportional to 10,356.92, 14,297.41 and 6,106.65 is: 8,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.92 : 14,297.41 = 6,106.65 : x
  2. Step 2: Convert to fraction form
    10,356.92/14,297.41 = 6,106.65/x
  3. Step 3: Cross multiply
    10,356.92x = 14,297.41 × 6,106.65
  4. Step 4: Simplify right side
    10,356.92x = 87,309,278.78
  5. Step 5: Solve for x
    x = 87,309,278.78/10,356.92
  6. Step 6: Final answer
    x = 8,430.04

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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.