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Finding the Fourth Proportional to 11,568.35, 15,964.30 and 6,263.17

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Solution

The fourth proportional to 11,568.35, 15,964.30 and 6,263.17 is: 8,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.35 : 15,964.30 = 6,263.17 : x
  2. Step 2: Convert to fraction form
    11,568.35/15,964.30 = 6,263.17/x
  3. Step 3: Cross multiply
    11,568.35x = 15,964.30 × 6,263.17
  4. Step 4: Simplify right side
    11,568.35x = 99,987,124.83
  5. Step 5: Solve for x
    x = 99,987,124.83/11,568.35
  6. Step 6: Final answer
    x = 8,643.16

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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.