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Finding the Fourth Proportional to 10,611.36, 14,643.54 and 5,895.54

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Solution

The fourth proportional to 10,611.36, 14,643.54 and 5,895.54 is: 8,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.36 : 14,643.54 = 5,895.54 : x
  2. Step 2: Convert to fraction form
    10,611.36/14,643.54 = 5,895.54/x
  3. Step 3: Cross multiply
    10,611.36x = 14,643.54 × 5,895.54
  4. Step 4: Simplify right side
    10,611.36x = 86,331,575.81
  5. Step 5: Solve for x
    x = 86,331,575.81/10,611.36
  6. Step 6: Final answer
    x = 8,135.77

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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.