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Finding the Fourth Proportional to 8,203.32, 12,296.16 and 4,038.48

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Solution

The fourth proportional to 8,203.32, 12,296.16 and 4,038.48 is: 6,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.32 : 12,296.16 = 4,038.48 : x
  2. Step 2: Convert to fraction form
    8,203.32/12,296.16 = 4,038.48/x
  3. Step 3: Cross multiply
    8,203.32x = 12,296.16 × 4,038.48
  4. Step 4: Simplify right side
    8,203.32x = 49,657,796.24
  5. Step 5: Solve for x
    x = 49,657,796.24/8,203.32
  6. Step 6: Final answer
    x = 6,053.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.