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Finding the Fourth Proportional to 10,142.71, 13,996.89 and 5,666.45

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Solution

The fourth proportional to 10,142.71, 13,996.89 and 5,666.45 is: 7,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.71 : 13,996.89 = 5,666.45 : x
  2. Step 2: Convert to fraction form
    10,142.71/13,996.89 = 5,666.45/x
  3. Step 3: Cross multiply
    10,142.71x = 13,996.89 × 5,666.45
  4. Step 4: Simplify right side
    10,142.71x = 79,312,607.36
  5. Step 5: Solve for x
    x = 79,312,607.36/10,142.71
  6. Step 6: Final answer
    x = 7,819.67

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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.