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Finding the Fourth Proportional to 10,702.76, 16,054.86 and 4,129

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Solution

The fourth proportional to 10,702.76, 16,054.86 and 4,129 is: 6,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.76 : 16,054.86 = 4,129 : x
  2. Step 2: Convert to fraction form
    10,702.76/16,054.86 = 4,129/x
  3. Step 3: Cross multiply
    10,702.76x = 16,054.86 × 4,129
  4. Step 4: Simplify right side
    10,702.76x = 66,290,516.94
  5. Step 5: Solve for x
    x = 66,290,516.94/10,702.76
  6. Step 6: Final answer
    x = 6,193.78

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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.