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Finding the Fourth Proportional to 7,856.82, 10,836.36 and 5,732.01

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Solution

The fourth proportional to 7,856.82, 10,836.36 and 5,732.01 is: 7,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.82 : 10,836.36 = 5,732.01 : x
  2. Step 2: Convert to fraction form
    7,856.82/10,836.36 = 5,732.01/x
  3. Step 3: Cross multiply
    7,856.82x = 10,836.36 × 5,732.01
  4. Step 4: Simplify right side
    7,856.82x = 62,114,123.88
  5. Step 5: Solve for x
    x = 62,114,123.88/7,856.82
  6. Step 6: Final answer
    x = 7,905.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.