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Finding the Fourth Proportional to 10,588.58, 14,611.74 and 5,872.76

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Solution

The fourth proportional to 10,588.58, 14,611.74 and 5,872.76 is: 8,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.58 : 14,611.74 = 5,872.76 : x
  2. Step 2: Convert to fraction form
    10,588.58/14,611.74 = 5,872.76/x
  3. Step 3: Cross multiply
    10,588.58x = 14,611.74 × 5,872.76
  4. Step 4: Simplify right side
    10,588.58x = 85,811,242.20
  5. Step 5: Solve for x
    x = 85,811,242.20/10,588.58
  6. Step 6: Final answer
    x = 8,104.13

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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.