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Finding the Fourth Proportional to 10,083.96, 15,126.54 and 3,064.21

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Solution

The fourth proportional to 10,083.96, 15,126.54 and 3,064.21 is: 4,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.96 : 15,126.54 = 3,064.21 : x
  2. Step 2: Convert to fraction form
    10,083.96/15,126.54 = 3,064.21/x
  3. Step 3: Cross multiply
    10,083.96x = 15,126.54 × 3,064.21
  4. Step 4: Simplify right side
    10,083.96x = 46,350,895.13
  5. Step 5: Solve for x
    x = 46,350,895.13/10,083.96
  6. Step 6: Final answer
    x = 4,596.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.