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Finding the Fourth Proportional to 10,702.24, 16,051.38 and 3,305.32

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Solution

The fourth proportional to 10,702.24, 16,051.38 and 3,305.32 is: 4,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.24 : 16,051.38 = 3,305.32 : x
  2. Step 2: Convert to fraction form
    10,702.24/16,051.38 = 3,305.32/x
  3. Step 3: Cross multiply
    10,702.24x = 16,051.38 × 3,305.32
  4. Step 4: Simplify right side
    10,702.24x = 53,054,947.34
  5. Step 5: Solve for x
    x = 53,054,947.34/10,702.24
  6. Step 6: Final answer
    x = 4,957.37

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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.