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Finding the Fourth Proportional to 6,129.36, 8,466.12 and 6,037.20

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Solution

The fourth proportional to 6,129.36, 8,466.12 and 6,037.20 is: 8,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.36 : 8,466.12 = 6,037.20 : x
  2. Step 2: Convert to fraction form
    6,129.36/8,466.12 = 6,037.20/x
  3. Step 3: Cross multiply
    6,129.36x = 8,466.12 × 6,037.20
  4. Step 4: Simplify right side
    6,129.36x = 51,111,659.66
  5. Step 5: Solve for x
    x = 51,111,659.66/6,129.36
  6. Step 6: Final answer
    x = 8,338.82

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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.