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Finding the Fourth Proportional to 7,707.58, 11,550 and 3,537.30

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Solution

The fourth proportional to 7,707.58, 11,550 and 3,537.30 is: 5,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.58 : 11,550 = 3,537.30 : x
  2. Step 2: Convert to fraction form
    7,707.58/11,550 = 3,537.30/x
  3. Step 3: Cross multiply
    7,707.58x = 11,550 × 3,537.30
  4. Step 4: Simplify right side
    7,707.58x = 40,855,815
  5. Step 5: Solve for x
    x = 40,855,815/7,707.58
  6. Step 6: Final answer
    x = 5,300.73

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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.