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Finding the Fourth Proportional to 10,768.68, 16,141.06 and 4,526.85

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Solution

The fourth proportional to 10,768.68, 16,141.06 and 4,526.85 is: 6,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.68 : 16,141.06 = 4,526.85 : x
  2. Step 2: Convert to fraction form
    10,768.68/16,141.06 = 4,526.85/x
  3. Step 3: Cross multiply
    10,768.68x = 16,141.06 × 4,526.85
  4. Step 4: Simplify right side
    10,768.68x = 73,068,223.65
  5. Step 5: Solve for x
    x = 73,068,223.65/10,768.68
  6. Step 6: Final answer
    x = 6,785.25

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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.