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Finding the Fourth Proportional to 10,304.66, 15,455.20 and 4,757.53

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Solution

The fourth proportional to 10,304.66, 15,455.20 and 4,757.53 is: 7,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.66 : 15,455.20 = 4,757.53 : x
  2. Step 2: Convert to fraction form
    10,304.66/15,455.20 = 4,757.53/x
  3. Step 3: Cross multiply
    10,304.66x = 15,455.20 × 4,757.53
  4. Step 4: Simplify right side
    10,304.66x = 73,528,553.87
  5. Step 5: Solve for x
    x = 73,528,553.87/10,304.66
  6. Step 6: Final answer
    x = 7,135.47

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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.