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Finding the Fourth Proportional to 10,143.34, 13,997.01 and 5,666.74

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Solution

The fourth proportional to 10,143.34, 13,997.01 and 5,666.74 is: 7,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.34 : 13,997.01 = 5,666.74 : x
  2. Step 2: Convert to fraction form
    10,143.34/13,997.01 = 5,666.74/x
  3. Step 3: Cross multiply
    10,143.34x = 13,997.01 × 5,666.74
  4. Step 4: Simplify right side
    10,143.34x = 79,317,416.45
  5. Step 5: Solve for x
    x = 79,317,416.45/10,143.34
  6. Step 6: Final answer
    x = 7,819.65

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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.