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Finding the Fourth Proportional to 10,308.26, 15,480.56 and 7,676.48

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Solution

The fourth proportional to 10,308.26, 15,480.56 and 7,676.48 is: 11,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.26 : 15,480.56 = 7,676.48 : x
  2. Step 2: Convert to fraction form
    10,308.26/15,480.56 = 7,676.48/x
  3. Step 3: Cross multiply
    10,308.26x = 15,480.56 × 7,676.48
  4. Step 4: Simplify right side
    10,308.26x = 118,836,151.02
  5. Step 5: Solve for x
    x = 118,836,151.02/10,308.26
  6. Step 6: Final answer
    x = 11,528.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.