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Finding the Fourth Proportional to 7,553.66, 10,419.96 and 4,570.46

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Solution

The fourth proportional to 7,553.66, 10,419.96 and 4,570.46 is: 6,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,553.66 : 10,419.96 = 4,570.46 : x
  2. Step 2: Convert to fraction form
    7,553.66/10,419.96 = 4,570.46/x
  3. Step 3: Cross multiply
    7,553.66x = 10,419.96 × 4,570.46
  4. Step 4: Simplify right side
    7,553.66x = 47,624,010.38
  5. Step 5: Solve for x
    x = 47,624,010.38/7,553.66
  6. Step 6: Final answer
    x = 6,304.76

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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.