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Finding the Fourth Proportional to 10,611.63, 14,629.42 and 8,465.46

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Solution

The fourth proportional to 10,611.63, 14,629.42 and 8,465.46 is: 11,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.63 : 14,629.42 = 8,465.46 : x
  2. Step 2: Convert to fraction form
    10,611.63/14,629.42 = 8,465.46/x
  3. Step 3: Cross multiply
    10,611.63x = 14,629.42 × 8,465.46
  4. Step 4: Simplify right side
    10,611.63x = 123,844,807.85
  5. Step 5: Solve for x
    x = 123,844,807.85/10,611.63
  6. Step 6: Final answer
    x = 11,670.66

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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.