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Finding the Fourth Proportional to 11,574.12, 15,972.36 and 6,269

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Solution

The fourth proportional to 11,574.12, 15,972.36 and 6,269 is: 8,651.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.12 : 15,972.36 = 6,269 : x
  2. Step 2: Convert to fraction form
    11,574.12/15,972.36 = 6,269/x
  3. Step 3: Cross multiply
    11,574.12x = 15,972.36 × 6,269
  4. Step 4: Simplify right side
    11,574.12x = 100,130,724.84
  5. Step 5: Solve for x
    x = 100,130,724.84/11,574.12
  6. Step 6: Final answer
    x = 8,651.26

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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.