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Finding the Fourth Proportional to 11,531.59, 15,905.41 and 7,701.31

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Solution

The fourth proportional to 11,531.59, 15,905.41 and 7,701.31 is: 10,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.59 : 15,905.41 = 7,701.31 : x
  2. Step 2: Convert to fraction form
    11,531.59/15,905.41 = 7,701.31/x
  3. Step 3: Cross multiply
    11,531.59x = 15,905.41 × 7,701.31
  4. Step 4: Simplify right side
    11,531.59x = 122,492,493.09
  5. Step 5: Solve for x
    x = 122,492,493.09/11,531.59
  6. Step 6: Final answer
    x = 10,622.34

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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.