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Finding the Fourth Proportional to 7,283.49, 10,048.37 and 4,484.13

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Solution

The fourth proportional to 7,283.49, 10,048.37 and 4,484.13 is: 6,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.49 : 10,048.37 = 4,484.13 : x
  2. Step 2: Convert to fraction form
    7,283.49/10,048.37 = 4,484.13/x
  3. Step 3: Cross multiply
    7,283.49x = 10,048.37 × 4,484.13
  4. Step 4: Simplify right side
    7,283.49x = 45,058,174.95
  5. Step 5: Solve for x
    x = 45,058,174.95/7,283.49
  6. Step 6: Final answer
    x = 6,186.34

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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.