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Finding the Fourth Proportional to 7,033.77, 10,548.71 and 2,102.25

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Solution

The fourth proportional to 7,033.77, 10,548.71 and 2,102.25 is: 3,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.77 : 10,548.71 = 2,102.25 : x
  2. Step 2: Convert to fraction form
    7,033.77/10,548.71 = 2,102.25/x
  3. Step 3: Cross multiply
    7,033.77x = 10,548.71 × 2,102.25
  4. Step 4: Simplify right side
    7,033.77x = 22,176,025.60
  5. Step 5: Solve for x
    x = 22,176,025.60/7,033.77
  6. Step 6: Final answer
    x = 3,152.79

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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.