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Finding the Fourth Proportional to 7,523.60, 11,267.16 and 3,816.08

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Solution

The fourth proportional to 7,523.60, 11,267.16 and 3,816.08 is: 5,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.60 : 11,267.16 = 3,816.08 : x
  2. Step 2: Convert to fraction form
    7,523.60/11,267.16 = 3,816.08/x
  3. Step 3: Cross multiply
    7,523.60x = 11,267.16 × 3,816.08
  4. Step 4: Simplify right side
    7,523.60x = 42,996,383.93
  5. Step 5: Solve for x
    x = 42,996,383.93/7,523.60
  6. Step 6: Final answer
    x = 5,714.87

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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.