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Finding the Fourth Proportional to 7,702.66, 11,540.10 and 3,546.16

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Solution

The fourth proportional to 7,702.66, 11,540.10 and 3,546.16 is: 5,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.66 : 11,540.10 = 3,546.16 : x
  2. Step 2: Convert to fraction form
    7,702.66/11,540.10 = 3,546.16/x
  3. Step 3: Cross multiply
    7,702.66x = 11,540.10 × 3,546.16
  4. Step 4: Simplify right side
    7,702.66x = 40,923,041.02
  5. Step 5: Solve for x
    x = 40,923,041.02/7,702.66
  6. Step 6: Final answer
    x = 5,312.85

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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.