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Finding the Fourth Proportional to 6,411.76, 8,847.03 and 4,054.66

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Solution

The fourth proportional to 6,411.76, 8,847.03 and 4,054.66 is: 5,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.76 : 8,847.03 = 4,054.66 : x
  2. Step 2: Convert to fraction form
    6,411.76/8,847.03 = 4,054.66/x
  3. Step 3: Cross multiply
    6,411.76x = 8,847.03 × 4,054.66
  4. Step 4: Simplify right side
    6,411.76x = 35,871,698.66
  5. Step 5: Solve for x
    x = 35,871,698.66/6,411.76
  6. Step 6: Final answer
    x = 5,594.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.