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Finding the Fourth Proportional to 8,373.65, 12,555.86 and 5,411.66

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Solution

The fourth proportional to 8,373.65, 12,555.86 and 5,411.66 is: 8,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,373.65 : 12,555.86 = 5,411.66 : x
  2. Step 2: Convert to fraction form
    8,373.65/12,555.86 = 5,411.66/x
  3. Step 3: Cross multiply
    8,373.65x = 12,555.86 × 5,411.66
  4. Step 4: Simplify right side
    8,373.65x = 67,947,955.49
  5. Step 5: Solve for x
    x = 67,947,955.49/8,373.65
  6. Step 6: Final answer
    x = 8,114.50

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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.