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Finding the Fourth Proportional to 10,835.53, 16,254.20 and 3,438

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Solution

The fourth proportional to 10,835.53, 16,254.20 and 3,438 is: 5,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.53 : 16,254.20 = 3,438 : x
  2. Step 2: Convert to fraction form
    10,835.53/16,254.20 = 3,438/x
  3. Step 3: Cross multiply
    10,835.53x = 16,254.20 × 3,438
  4. Step 4: Simplify right side
    10,835.53x = 55,881,948.20
  5. Step 5: Solve for x
    x = 55,881,948.20/10,835.53
  6. Step 6: Final answer
    x = 5,157.29

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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.