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Finding the Fourth Proportional to 10,702.77, 16,048.26 and 3,305.19

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Solution

The fourth proportional to 10,702.77, 16,048.26 and 3,305.19 is: 4,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.77 : 16,048.26 = 3,305.19 : x
  2. Step 2: Convert to fraction form
    10,702.77/16,048.26 = 3,305.19/x
  3. Step 3: Cross multiply
    10,702.77x = 16,048.26 × 3,305.19
  4. Step 4: Simplify right side
    10,702.77x = 53,042,548.47
  5. Step 5: Solve for x
    x = 53,042,548.47/10,702.77
  6. Step 6: Final answer
    x = 4,955.96

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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.