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Finding the Fourth Proportional to 10,197.78, 15,296.84 and 2,802.19

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Solution

The fourth proportional to 10,197.78, 15,296.84 and 2,802.19 is: 4,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.78 : 15,296.84 = 2,802.19 : x
  2. Step 2: Convert to fraction form
    10,197.78/15,296.84 = 2,802.19/x
  3. Step 3: Cross multiply
    10,197.78x = 15,296.84 × 2,802.19
  4. Step 4: Simplify right side
    10,197.78x = 42,864,683.32
  5. Step 5: Solve for x
    x = 42,864,683.32/10,197.78
  6. Step 6: Final answer
    x = 4,203.33

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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.