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Finding the Fourth Proportional to 7,807.97, 11,688.95 and 5,026.38

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Solution

The fourth proportional to 7,807.97, 11,688.95 and 5,026.38 is: 7,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.97 : 11,688.95 = 5,026.38 : x
  2. Step 2: Convert to fraction form
    7,807.97/11,688.95 = 5,026.38/x
  3. Step 3: Cross multiply
    7,807.97x = 11,688.95 × 5,026.38
  4. Step 4: Simplify right side
    7,807.97x = 58,753,079.37
  5. Step 5: Solve for x
    x = 58,753,079.37/7,807.97
  6. Step 6: Final answer
    x = 7,524.76

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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.