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Finding the Fourth Proportional to 10,388.29, 14,336.14 and 5,672.88

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Solution

The fourth proportional to 10,388.29, 14,336.14 and 5,672.88 is: 7,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.29 : 14,336.14 = 5,672.88 : x
  2. Step 2: Convert to fraction form
    10,388.29/14,336.14 = 5,672.88/x
  3. Step 3: Cross multiply
    10,388.29x = 14,336.14 × 5,672.88
  4. Step 4: Simplify right side
    10,388.29x = 81,327,201.88
  5. Step 5: Solve for x
    x = 81,327,201.88/10,388.29
  6. Step 6: Final answer
    x = 7,828.74

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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.