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Finding the Fourth Proportional to 10,896.30, 16,340.43 and 4,656.99

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Solution

The fourth proportional to 10,896.30, 16,340.43 and 4,656.99 is: 6,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.30 : 16,340.43 = 4,656.99 : x
  2. Step 2: Convert to fraction form
    10,896.30/16,340.43 = 4,656.99/x
  3. Step 3: Cross multiply
    10,896.30x = 16,340.43 × 4,656.99
  4. Step 4: Simplify right side
    10,896.30x = 76,097,219.11
  5. Step 5: Solve for x
    x = 76,097,219.11/10,896.30
  6. Step 6: Final answer
    x = 6,983.77

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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.