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Finding the Fourth Proportional to 7,807.38, 11,700.24 and 4,293.15

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Solution

The fourth proportional to 7,807.38, 11,700.24 and 4,293.15 is: 6,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.38 : 11,700.24 = 4,293.15 : x
  2. Step 2: Convert to fraction form
    7,807.38/11,700.24 = 4,293.15/x
  3. Step 3: Cross multiply
    7,807.38x = 11,700.24 × 4,293.15
  4. Step 4: Simplify right side
    7,807.38x = 50,230,885.36
  5. Step 5: Solve for x
    x = 50,230,885.36/7,807.38
  6. Step 6: Final answer
    x = 6,433.77

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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.