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Finding the Fourth Proportional to 8,271.16, 11,429.25 and 6,029.15

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Solution

The fourth proportional to 8,271.16, 11,429.25 and 6,029.15 is: 8,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.16 : 11,429.25 = 6,029.15 : x
  2. Step 2: Convert to fraction form
    8,271.16/11,429.25 = 6,029.15/x
  3. Step 3: Cross multiply
    8,271.16x = 11,429.25 × 6,029.15
  4. Step 4: Simplify right side
    8,271.16x = 68,908,662.64
  5. Step 5: Solve for x
    x = 68,908,662.64/8,271.16
  6. Step 6: Final answer
    x = 8,331.20

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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.