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Finding the Fourth Proportional to 8,057.70, 11,121.03 and 4,702.50

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Solution

The fourth proportional to 8,057.70, 11,121.03 and 4,702.50 is: 6,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.70 : 11,121.03 = 4,702.50 : x
  2. Step 2: Convert to fraction form
    8,057.70/11,121.03 = 4,702.50/x
  3. Step 3: Cross multiply
    8,057.70x = 11,121.03 × 4,702.50
  4. Step 4: Simplify right side
    8,057.70x = 52,296,643.58
  5. Step 5: Solve for x
    x = 52,296,643.58/8,057.70
  6. Step 6: Final answer
    x = 6,490.27

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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.