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Finding the Fourth Proportional to 10,611.18, 14,643.39 and 5,895.36

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Solution

The fourth proportional to 10,611.18, 14,643.39 and 5,895.36 is: 8,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.18 : 14,643.39 = 5,895.36 : x
  2. Step 2: Convert to fraction form
    10,611.18/14,643.39 = 5,895.36/x
  3. Step 3: Cross multiply
    10,611.18x = 14,643.39 × 5,895.36
  4. Step 4: Simplify right side
    10,611.18x = 86,328,055.67
  5. Step 5: Solve for x
    x = 86,328,055.67/10,611.18
  6. Step 6: Final answer
    x = 8,135.58

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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.