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Finding the Fourth Proportional to 7,697.42, 10,617.38 and 5,307.49

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Solution

The fourth proportional to 7,697.42, 10,617.38 and 5,307.49 is: 7,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.42 : 10,617.38 = 5,307.49 : x
  2. Step 2: Convert to fraction form
    7,697.42/10,617.38 = 5,307.49/x
  3. Step 3: Cross multiply
    7,697.42x = 10,617.38 × 5,307.49
  4. Step 4: Simplify right side
    7,697.42x = 56,351,611.64
  5. Step 5: Solve for x
    x = 56,351,611.64/7,697.42
  6. Step 6: Final answer
    x = 7,320.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.