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Finding the Fourth Proportional to 10,098.36, 15,139.98 and 6,802.20

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Solution

The fourth proportional to 10,098.36, 15,139.98 and 6,802.20 is: 10,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.36 : 15,139.98 = 6,802.20 : x
  2. Step 2: Convert to fraction form
    10,098.36/15,139.98 = 6,802.20/x
  3. Step 3: Cross multiply
    10,098.36x = 15,139.98 × 6,802.20
  4. Step 4: Simplify right side
    10,098.36x = 102,985,171.96
  5. Step 5: Solve for x
    x = 102,985,171.96/10,098.36
  6. Step 6: Final answer
    x = 10,198.21

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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.