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Finding the Fourth Proportional to 6,130.24, 8,456.72 and 4,004.80

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Solution

The fourth proportional to 6,130.24, 8,456.72 and 4,004.80 is: 5,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.24 : 8,456.72 = 4,004.80 : x
  2. Step 2: Convert to fraction form
    6,130.24/8,456.72 = 4,004.80/x
  3. Step 3: Cross multiply
    6,130.24x = 8,456.72 × 4,004.80
  4. Step 4: Simplify right side
    6,130.24x = 33,867,472.26
  5. Step 5: Solve for x
    x = 33,867,472.26/6,130.24
  6. Step 6: Final answer
    x = 5,524.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.