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Finding the Fourth Proportional to 7,508.02, 10,361.70 and 4,364

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Solution

The fourth proportional to 7,508.02, 10,361.70 and 4,364 is: 6,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.02 : 10,361.70 = 4,364 : x
  2. Step 2: Convert to fraction form
    7,508.02/10,361.70 = 4,364/x
  3. Step 3: Cross multiply
    7,508.02x = 10,361.70 × 4,364
  4. Step 4: Simplify right side
    7,508.02x = 45,218,458.80
  5. Step 5: Solve for x
    x = 45,218,458.80/7,508.02
  6. Step 6: Final answer
    x = 6,022.69

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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.