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Finding the Fourth Proportional to 10,702.77, 14,769.93 and 5,922.47

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Solution

The fourth proportional to 10,702.77, 14,769.93 and 5,922.47 is: 8,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.77 : 14,769.93 = 5,922.47 : x
  2. Step 2: Convert to fraction form
    10,702.77/14,769.93 = 5,922.47/x
  3. Step 3: Cross multiply
    10,702.77x = 14,769.93 × 5,922.47
  4. Step 4: Simplify right side
    10,702.77x = 87,474,467.33
  5. Step 5: Solve for x
    x = 87,474,467.33/10,702.77
  6. Step 6: Final answer
    x = 8,173.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.