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Finding the Fourth Proportional to 10,196.90, 15,256.70 and 6,039.14

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Solution

The fourth proportional to 10,196.90, 15,256.70 and 6,039.14 is: 9,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.90 : 15,256.70 = 6,039.14 : x
  2. Step 2: Convert to fraction form
    10,196.90/15,256.70 = 6,039.14/x
  3. Step 3: Cross multiply
    10,196.90x = 15,256.70 × 6,039.14
  4. Step 4: Simplify right side
    10,196.90x = 92,137,347.24
  5. Step 5: Solve for x
    x = 92,137,347.24/10,196.90
  6. Step 6: Final answer
    x = 9,035.82

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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.