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Finding the Fourth Proportional to 7,896.29, 10,896.12 and 4,710.56

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Solution

The fourth proportional to 7,896.29, 10,896.12 and 4,710.56 is: 6,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.29 : 10,896.12 = 4,710.56 : x
  2. Step 2: Convert to fraction form
    7,896.29/10,896.12 = 4,710.56/x
  3. Step 3: Cross multiply
    7,896.29x = 10,896.12 × 4,710.56
  4. Step 4: Simplify right side
    7,896.29x = 51,326,772.55
  5. Step 5: Solve for x
    x = 51,326,772.55/7,896.29
  6. Step 6: Final answer
    x = 6,500.12

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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.