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Finding the Fourth Proportional to 11,155.20, 15,405.60 and 7,807.20

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Solution

The fourth proportional to 11,155.20, 15,405.60 and 7,807.20 is: 10,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,155.20 : 15,405.60 = 7,807.20 : x
  2. Step 2: Convert to fraction form
    11,155.20/15,405.60 = 7,807.20/x
  3. Step 3: Cross multiply
    11,155.20x = 15,405.60 × 7,807.20
  4. Step 4: Simplify right side
    11,155.20x = 120,274,600.32
  5. Step 5: Solve for x
    x = 120,274,600.32/11,155.20
  6. Step 6: Final answer
    x = 10,781.93

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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.