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Finding the Fourth Proportional to 10,584.11, 14,607.11 and 5,869.30

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Solution

The fourth proportional to 10,584.11, 14,607.11 and 5,869.30 is: 8,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.11 : 14,607.11 = 5,869.30 : x
  2. Step 2: Convert to fraction form
    10,584.11/14,607.11 = 5,869.30/x
  3. Step 3: Cross multiply
    10,584.11x = 14,607.11 × 5,869.30
  4. Step 4: Simplify right side
    10,584.11x = 85,733,510.72
  5. Step 5: Solve for x
    x = 85,733,510.72/10,584.11
  6. Step 6: Final answer
    x = 8,100.21

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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.