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Finding the Fourth Proportional to 10,119.84, 15,194.40 and 6,445.44

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Solution

The fourth proportional to 10,119.84, 15,194.40 and 6,445.44 is: 9,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.84 : 15,194.40 = 6,445.44 : x
  2. Step 2: Convert to fraction form
    10,119.84/15,194.40 = 6,445.44/x
  3. Step 3: Cross multiply
    10,119.84x = 15,194.40 × 6,445.44
  4. Step 4: Simplify right side
    10,119.84x = 97,934,593.54
  5. Step 5: Solve for x
    x = 97,934,593.54/10,119.84
  6. Step 6: Final answer
    x = 9,677.48

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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.