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Finding the Fourth Proportional to 10,583.99, 15,883.28 and 3,658.49

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Solution

The fourth proportional to 10,583.99, 15,883.28 and 3,658.49 is: 5,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.99 : 15,883.28 = 3,658.49 : x
  2. Step 2: Convert to fraction form
    10,583.99/15,883.28 = 3,658.49/x
  3. Step 3: Cross multiply
    10,583.99x = 15,883.28 × 3,658.49
  4. Step 4: Simplify right side
    10,583.99x = 58,108,723.34
  5. Step 5: Solve for x
    x = 58,108,723.34/10,583.99
  6. Step 6: Final answer
    x = 5,490.25

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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.