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Finding the Fourth Proportional to 10,690.76, 16,036.16 and 4,120.04

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Solution

The fourth proportional to 10,690.76, 16,036.16 and 4,120.04 is: 6,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.76 : 16,036.16 = 4,120.04 : x
  2. Step 2: Convert to fraction form
    10,690.76/16,036.16 = 4,120.04/x
  3. Step 3: Cross multiply
    10,690.76x = 16,036.16 × 4,120.04
  4. Step 4: Simplify right side
    10,690.76x = 66,069,620.65
  5. Step 5: Solve for x
    x = 66,069,620.65/10,690.76
  6. Step 6: Final answer
    x = 6,180.07

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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.