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Finding the Fourth Proportional to 10,446.26, 14,415.86 and 5,666.28

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Solution

The fourth proportional to 10,446.26, 14,415.86 and 5,666.28 is: 7,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.26 : 14,415.86 = 5,666.28 : x
  2. Step 2: Convert to fraction form
    10,446.26/14,415.86 = 5,666.28/x
  3. Step 3: Cross multiply
    10,446.26x = 14,415.86 × 5,666.28
  4. Step 4: Simplify right side
    10,446.26x = 81,684,299.20
  5. Step 5: Solve for x
    x = 81,684,299.20/10,446.26
  6. Step 6: Final answer
    x = 7,819.48

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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.