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Finding the Fourth Proportional to 10,515.75, 14,511.75 and 5,800.02

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Solution

The fourth proportional to 10,515.75, 14,511.75 and 5,800.02 is: 8,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.75 : 14,511.75 = 5,800.02 : x
  2. Step 2: Convert to fraction form
    10,515.75/14,511.75 = 5,800.02/x
  3. Step 3: Cross multiply
    10,515.75x = 14,511.75 × 5,800.02
  4. Step 4: Simplify right side
    10,515.75x = 84,168,440.24
  5. Step 5: Solve for x
    x = 84,168,440.24/10,515.75
  6. Step 6: Final answer
    x = 8,004.04

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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.