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Finding the Fourth Proportional to 8,041.16, 12,061.62 and 4,571

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Solution

The fourth proportional to 8,041.16, 12,061.62 and 4,571 is: 6,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.16 : 12,061.62 = 4,571 : x
  2. Step 2: Convert to fraction form
    8,041.16/12,061.62 = 4,571/x
  3. Step 3: Cross multiply
    8,041.16x = 12,061.62 × 4,571
  4. Step 4: Simplify right side
    8,041.16x = 55,133,665.02
  5. Step 5: Solve for x
    x = 55,133,665.02/8,041.16
  6. Step 6: Final answer
    x = 6,856.43

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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.