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Finding the Fourth Proportional to 11,350.94, 15,665.00 and 6,316.28

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Solution

The fourth proportional to 11,350.94, 15,665.00 and 6,316.28 is: 8,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350.94 : 15,665.00 = 6,316.28 : x
  2. Step 2: Convert to fraction form
    11,350.94/15,665.00 = 6,316.28/x
  3. Step 3: Cross multiply
    11,350.94x = 15,665.00 × 6,316.28
  4. Step 4: Simplify right side
    11,350.94x = 98,944,475.04
  5. Step 5: Solve for x
    x = 98,944,475.04/11,350.94
  6. Step 6: Final answer
    x = 8,716.86

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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.