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Finding the Fourth Proportional to 10,702.23, 14,760.78 and 8,178.06

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Solution

The fourth proportional to 10,702.23, 14,760.78 and 8,178.06 is: 11,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.23 : 14,760.78 = 8,178.06 : x
  2. Step 2: Convert to fraction form
    10,702.23/14,760.78 = 8,178.06/x
  3. Step 3: Cross multiply
    10,702.23x = 14,760.78 × 8,178.06
  4. Step 4: Simplify right side
    10,702.23x = 120,714,615.17
  5. Step 5: Solve for x
    x = 120,714,615.17/10,702.23
  6. Step 6: Final answer
    x = 11,279.39

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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.