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Finding the Fourth Proportional to 8,482.93, 12,720.35 and 3,802.98

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Solution

The fourth proportional to 8,482.93, 12,720.35 and 3,802.98 is: 5,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.93 : 12,720.35 = 3,802.98 : x
  2. Step 2: Convert to fraction form
    8,482.93/12,720.35 = 3,802.98/x
  3. Step 3: Cross multiply
    8,482.93x = 12,720.35 × 3,802.98
  4. Step 4: Simplify right side
    8,482.93x = 48,375,236.64
  5. Step 5: Solve for x
    x = 48,375,236.64/8,482.93
  6. Step 6: Final answer
    x = 5,702.66

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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.