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Finding the Fourth Proportional to 10,291.05, 14,200.72 and 5,815.19

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Solution

The fourth proportional to 10,291.05, 14,200.72 and 5,815.19 is: 8,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.05 : 14,200.72 = 5,815.19 : x
  2. Step 2: Convert to fraction form
    10,291.05/14,200.72 = 5,815.19/x
  3. Step 3: Cross multiply
    10,291.05x = 14,200.72 × 5,815.19
  4. Step 4: Simplify right side
    10,291.05x = 82,579,905.90
  5. Step 5: Solve for x
    x = 82,579,905.90/10,291.05
  6. Step 6: Final answer
    x = 8,024.44

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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.