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Finding the Fourth Proportional to 7,803.52, 11,702.46 and 2,254.96

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Solution

The fourth proportional to 7,803.52, 11,702.46 and 2,254.96 is: 3,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.52 : 11,702.46 = 2,254.96 : x
  2. Step 2: Convert to fraction form
    7,803.52/11,702.46 = 2,254.96/x
  3. Step 3: Cross multiply
    7,803.52x = 11,702.46 × 2,254.96
  4. Step 4: Simplify right side
    7,803.52x = 26,388,579.20
  5. Step 5: Solve for x
    x = 26,388,579.20/7,803.52
  6. Step 6: Final answer
    x = 3,381.63

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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.