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Finding the Fourth Proportional to 6,994.50, 10,495.40 and 3,531.75

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Solution

The fourth proportional to 6,994.50, 10,495.40 and 3,531.75 is: 5,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.50 : 10,495.40 = 3,531.75 : x
  2. Step 2: Convert to fraction form
    6,994.50/10,495.40 = 3,531.75/x
  3. Step 3: Cross multiply
    6,994.50x = 10,495.40 × 3,531.75
  4. Step 4: Simplify right side
    6,994.50x = 37,067,111.29
  5. Step 5: Solve for x
    x = 37,067,111.29/6,994.50
  6. Step 6: Final answer
    x = 5,299.47

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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.