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Finding the Fourth Proportional to 10,611.71, 14,643.53 and 6,135.14

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Solution

The fourth proportional to 10,611.71, 14,643.53 and 6,135.14 is: 8,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.71 : 14,643.53 = 6,135.14 : x
  2. Step 2: Convert to fraction form
    10,611.71/14,643.53 = 6,135.14/x
  3. Step 3: Cross multiply
    10,611.71x = 14,643.53 × 6,135.14
  4. Step 4: Simplify right side
    10,611.71x = 89,840,170.09
  5. Step 5: Solve for x
    x = 89,840,170.09/10,611.71
  6. Step 6: Final answer
    x = 8,466.14

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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.