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Finding the Fourth Proportional to 11,378.46, 15,702.34 and 6,343.00

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Solution

The fourth proportional to 11,378.46, 15,702.34 and 6,343.00 is: 8,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.46 : 15,702.34 = 6,343.00 : x
  2. Step 2: Convert to fraction form
    11,378.46/15,702.34 = 6,343.00/x
  3. Step 3: Cross multiply
    11,378.46x = 15,702.34 × 6,343.00
  4. Step 4: Simplify right side
    11,378.46x = 99,599,832.39
  5. Step 5: Solve for x
    x = 99,599,832.39/11,378.46
  6. Step 6: Final answer
    x = 8,753.37

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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.