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Finding the Fourth Proportional to 10,143.90, 13,996.80 and 5,666.22

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Solution

The fourth proportional to 10,143.90, 13,996.80 and 5,666.22 is: 7,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.90 : 13,996.80 = 5,666.22 : x
  2. Step 2: Convert to fraction form
    10,143.90/13,996.80 = 5,666.22/x
  3. Step 3: Cross multiply
    10,143.90x = 13,996.80 × 5,666.22
  4. Step 4: Simplify right side
    10,143.90x = 79,308,948.10
  5. Step 5: Solve for x
    x = 79,308,948.10/10,143.90
  6. Step 6: Final answer
    x = 7,818.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.