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Finding the Fourth Proportional to 10,220.16, 15,338.45 and 5,291.21

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Solution

The fourth proportional to 10,220.16, 15,338.45 and 5,291.21 is: 7,941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.16 : 15,338.45 = 5,291.21 : x
  2. Step 2: Convert to fraction form
    10,220.16/15,338.45 = 5,291.21/x
  3. Step 3: Cross multiply
    10,220.16x = 15,338.45 × 5,291.21
  4. Step 4: Simplify right side
    10,220.16x = 81,158,960.02
  5. Step 5: Solve for x
    x = 81,158,960.02/10,220.16
  6. Step 6: Final answer
    x = 7,941.07

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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.