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Finding the Fourth Proportional to 10,098.22, 13,935.22 and 5,621.87

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Solution

The fourth proportional to 10,098.22, 13,935.22 and 5,621.87 is: 7,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.22 : 13,935.22 = 5,621.87 : x
  2. Step 2: Convert to fraction form
    10,098.22/13,935.22 = 5,621.87/x
  3. Step 3: Cross multiply
    10,098.22x = 13,935.22 × 5,621.87
  4. Step 4: Simplify right side
    10,098.22x = 78,342,016.04
  5. Step 5: Solve for x
    x = 78,342,016.04/10,098.22
  6. Step 6: Final answer
    x = 7,758.00

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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.