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Finding the Fourth Proportional to 10,367.44, 14,308.56 and 5,890.30

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Solution

The fourth proportional to 10,367.44, 14,308.56 and 5,890.30 is: 8,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.44 : 14,308.56 = 5,890.30 : x
  2. Step 2: Convert to fraction form
    10,367.44/14,308.56 = 5,890.30/x
  3. Step 3: Cross multiply
    10,367.44x = 14,308.56 × 5,890.30
  4. Step 4: Simplify right side
    10,367.44x = 84,281,710.97
  5. Step 5: Solve for x
    x = 84,281,710.97/10,367.44
  6. Step 6: Final answer
    x = 8,129.46

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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.