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Finding the Fourth Proportional to 11,202.20, 15,465.42 and 7,804.16

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Solution

The fourth proportional to 11,202.20, 15,465.42 and 7,804.16 is: 10,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.20 : 15,465.42 = 7,804.16 : x
  2. Step 2: Convert to fraction form
    11,202.20/15,465.42 = 7,804.16/x
  3. Step 3: Cross multiply
    11,202.20x = 15,465.42 × 7,804.16
  4. Step 4: Simplify right side
    11,202.20x = 120,694,612.15
  5. Step 5: Solve for x
    x = 120,694,612.15/11,202.20
  6. Step 6: Final answer
    x = 10,774.19

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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.