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Finding the Fourth Proportional to 8,035.47, 12,050.38 and 2,411.46

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Solution

The fourth proportional to 8,035.47, 12,050.38 and 2,411.46 is: 3,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.47 : 12,050.38 = 2,411.46 : x
  2. Step 2: Convert to fraction form
    8,035.47/12,050.38 = 2,411.46/x
  3. Step 3: Cross multiply
    8,035.47x = 12,050.38 × 2,411.46
  4. Step 4: Simplify right side
    8,035.47x = 29,059,009.35
  5. Step 5: Solve for x
    x = 29,059,009.35/8,035.47
  6. Step 6: Final answer
    x = 3,616.34

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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.