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Finding the Fourth Proportional to 10,094.76, 15,144.66 and 3,521

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Solution

The fourth proportional to 10,094.76, 15,144.66 and 3,521 is: 5,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.76 : 15,144.66 = 3,521 : x
  2. Step 2: Convert to fraction form
    10,094.76/15,144.66 = 3,521/x
  3. Step 3: Cross multiply
    10,094.76x = 15,144.66 × 3,521
  4. Step 4: Simplify right side
    10,094.76x = 53,324,347.86
  5. Step 5: Solve for x
    x = 53,324,347.86/10,094.76
  6. Step 6: Final answer
    x = 5,282.38

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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.