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Finding the Fourth Proportional to 10,702.74, 16,056.84 and 4,127.16

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Solution

The fourth proportional to 10,702.74, 16,056.84 and 4,127.16 is: 6,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.74 : 16,056.84 = 4,127.16 : x
  2. Step 2: Convert to fraction form
    10,702.74/16,056.84 = 4,127.16/x
  3. Step 3: Cross multiply
    10,702.74x = 16,056.84 × 4,127.16
  4. Step 4: Simplify right side
    10,702.74x = 66,269,147.77
  5. Step 5: Solve for x
    x = 66,269,147.77/10,702.74
  6. Step 6: Final answer
    x = 6,191.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.