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Finding the Fourth Proportional to 7,697.56, 11,549.40 and 2,503.48

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Solution

The fourth proportional to 7,697.56, 11,549.40 and 2,503.48 is: 3,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.56 : 11,549.40 = 2,503.48 : x
  2. Step 2: Convert to fraction form
    7,697.56/11,549.40 = 2,503.48/x
  3. Step 3: Cross multiply
    7,697.56x = 11,549.40 × 2,503.48
  4. Step 4: Simplify right side
    7,697.56x = 28,913,691.91
  5. Step 5: Solve for x
    x = 28,913,691.91/7,697.56
  6. Step 6: Final answer
    x = 3,756.22

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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.