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Finding the Fourth Proportional to 10,317.90, 15,478.06 and 3,296

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Solution

The fourth proportional to 10,317.90, 15,478.06 and 3,296 is: 4,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.90 : 15,478.06 = 3,296 : x
  2. Step 2: Convert to fraction form
    10,317.90/15,478.06 = 3,296/x
  3. Step 3: Cross multiply
    10,317.90x = 15,478.06 × 3,296
  4. Step 4: Simplify right side
    10,317.90x = 51,015,685.76
  5. Step 5: Solve for x
    x = 51,015,685.76/10,317.90
  6. Step 6: Final answer
    x = 4,944.39

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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.