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Finding the Fourth Proportional to 8,411.66, 11,608.03 and 5,054.40

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Solution

The fourth proportional to 8,411.66, 11,608.03 and 5,054.40 is: 6,975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.66 : 11,608.03 = 5,054.40 : x
  2. Step 2: Convert to fraction form
    8,411.66/11,608.03 = 5,054.40/x
  3. Step 3: Cross multiply
    8,411.66x = 11,608.03 × 5,054.40
  4. Step 4: Simplify right side
    8,411.66x = 58,671,604.72
  5. Step 5: Solve for x
    x = 58,671,604.72/8,411.66
  6. Step 6: Final answer
    x = 6,975.03

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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.