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Finding the Fourth Proportional to 7,643.13, 10,565.18 and 6,376.80

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Solution

The fourth proportional to 7,643.13, 10,565.18 and 6,376.80 is: 8,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.13 : 10,565.18 = 6,376.80 : x
  2. Step 2: Convert to fraction form
    7,643.13/10,565.18 = 6,376.80/x
  3. Step 3: Cross multiply
    7,643.13x = 10,565.18 × 6,376.80
  4. Step 4: Simplify right side
    7,643.13x = 67,372,039.82
  5. Step 5: Solve for x
    x = 67,372,039.82/7,643.13
  6. Step 6: Final answer
    x = 8,814.72

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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.