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Finding the Fourth Proportional to 8,400.50, 12,592.96 and 3,718.02

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Solution

The fourth proportional to 8,400.50, 12,592.96 and 3,718.02 is: 5,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.50 : 12,592.96 = 3,718.02 : x
  2. Step 2: Convert to fraction form
    8,400.50/12,592.96 = 3,718.02/x
  3. Step 3: Cross multiply
    8,400.50x = 12,592.96 × 3,718.02
  4. Step 4: Simplify right side
    8,400.50x = 46,820,877.14
  5. Step 5: Solve for x
    x = 46,820,877.14/8,400.50
  6. Step 6: Final answer
    x = 5,573.58

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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.