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Finding the Fourth Proportional to 6,813.76, 10,220.70 and 3,525.16

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Solution

The fourth proportional to 6,813.76, 10,220.70 and 3,525.16 is: 5,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.76 : 10,220.70 = 3,525.16 : x
  2. Step 2: Convert to fraction form
    6,813.76/10,220.70 = 3,525.16/x
  3. Step 3: Cross multiply
    6,813.76x = 10,220.70 × 3,525.16
  4. Step 4: Simplify right side
    6,813.76x = 36,029,602.81
  5. Step 5: Solve for x
    x = 36,029,602.81/6,813.76
  6. Step 6: Final answer
    x = 5,287.77

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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.