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Finding the Fourth Proportional to 7,202.36, 10,807.86 and 2,585.72

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Solution

The fourth proportional to 7,202.36, 10,807.86 and 2,585.72 is: 3,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.36 : 10,807.86 = 2,585.72 : x
  2. Step 2: Convert to fraction form
    7,202.36/10,807.86 = 2,585.72/x
  3. Step 3: Cross multiply
    7,202.36x = 10,807.86 × 2,585.72
  4. Step 4: Simplify right side
    7,202.36x = 27,946,099.76
  5. Step 5: Solve for x
    x = 27,946,099.76/7,202.36
  6. Step 6: Final answer
    x = 3,880.13

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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.