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Finding the Fourth Proportional to 7,207.04, 10,810.56 and 3,737

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Solution

The fourth proportional to 7,207.04, 10,810.56 and 3,737 is: 5,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.04 : 10,810.56 = 3,737 : x
  2. Step 2: Convert to fraction form
    7,207.04/10,810.56 = 3,737/x
  3. Step 3: Cross multiply
    7,207.04x = 10,810.56 × 3,737
  4. Step 4: Simplify right side
    7,207.04x = 40,399,062.72
  5. Step 5: Solve for x
    x = 40,399,062.72/7,207.04
  6. Step 6: Final answer
    x = 5,605.50

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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.