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Finding the Fourth Proportional to 7,864.08, 11,800.18 and 3,484.64

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Solution

The fourth proportional to 7,864.08, 11,800.18 and 3,484.64 is: 5,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.08 : 11,800.18 = 3,484.64 : x
  2. Step 2: Convert to fraction form
    7,864.08/11,800.18 = 3,484.64/x
  3. Step 3: Cross multiply
    7,864.08x = 11,800.18 × 3,484.64
  4. Step 4: Simplify right side
    7,864.08x = 41,119,379.24
  5. Step 5: Solve for x
    x = 41,119,379.24/7,864.08
  6. Step 6: Final answer
    x = 5,228.76

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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.