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Finding the Fourth Proportional to 7,202.04, 10,787.40 and 3,496.47

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Solution

The fourth proportional to 7,202.04, 10,787.40 and 3,496.47 is: 5,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.04 : 10,787.40 = 3,496.47 : x
  2. Step 2: Convert to fraction form
    7,202.04/10,787.40 = 3,496.47/x
  3. Step 3: Cross multiply
    7,202.04x = 10,787.40 × 3,496.47
  4. Step 4: Simplify right side
    7,202.04x = 37,717,820.48
  5. Step 5: Solve for x
    x = 37,717,820.48/7,202.04
  6. Step 6: Final answer
    x = 5,237.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.