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Finding the Fourth Proportional to 10,611.43, 14,643.15 and 6,134.86

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Solution

The fourth proportional to 10,611.43, 14,643.15 and 6,134.86 is: 8,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.43 : 14,643.15 = 6,134.86 : x
  2. Step 2: Convert to fraction form
    10,611.43/14,643.15 = 6,134.86/x
  3. Step 3: Cross multiply
    10,611.43x = 14,643.15 × 6,134.86
  4. Step 4: Simplify right side
    10,611.43x = 89,833,670.51
  5. Step 5: Solve for x
    x = 89,833,670.51/10,611.43
  6. Step 6: Final answer
    x = 8,465.75

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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.