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Finding the Fourth Proportional to 11,204.62, 15,435.81 and 7,841.50

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Solution

The fourth proportional to 11,204.62, 15,435.81 and 7,841.50 is: 10,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.62 : 15,435.81 = 7,841.50 : x
  2. Step 2: Convert to fraction form
    11,204.62/15,435.81 = 7,841.50/x
  3. Step 3: Cross multiply
    11,204.62x = 15,435.81 × 7,841.50
  4. Step 4: Simplify right side
    11,204.62x = 121,039,904.12
  5. Step 5: Solve for x
    x = 121,039,904.12/11,204.62
  6. Step 6: Final answer
    x = 10,802.68

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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.