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Finding the Fourth Proportional to 10,202.16, 15,290.93 and 5,269.11

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Solution

The fourth proportional to 10,202.16, 15,290.93 and 5,269.11 is: 7,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.16 : 15,290.93 = 5,269.11 : x
  2. Step 2: Convert to fraction form
    10,202.16/15,290.93 = 5,269.11/x
  3. Step 3: Cross multiply
    10,202.16x = 15,290.93 × 5,269.11
  4. Step 4: Simplify right side
    10,202.16x = 80,569,592.17
  5. Step 5: Solve for x
    x = 80,569,592.17/10,202.16
  6. Step 6: Final answer
    x = 7,897.31

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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.