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Finding the Fourth Proportional to 10,611.24, 14,648.71 and 6,633.64

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Solution

The fourth proportional to 10,611.24, 14,648.71 and 6,633.64 is: 9,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.24 : 14,648.71 = 6,633.64 : x
  2. Step 2: Convert to fraction form
    10,611.24/14,648.71 = 6,633.64/x
  3. Step 3: Cross multiply
    10,611.24x = 14,648.71 × 6,633.64
  4. Step 4: Simplify right side
    10,611.24x = 97,174,162.19
  5. Step 5: Solve for x
    x = 97,174,162.19/10,611.24
  6. Step 6: Final answer
    x = 9,157.66

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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.