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Finding the Fourth Proportional to 10,702.36, 16,053.42 and 3,305.98

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Solution

The fourth proportional to 10,702.36, 16,053.42 and 3,305.98 is: 4,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.36 : 16,053.42 = 3,305.98 : x
  2. Step 2: Convert to fraction form
    10,702.36/16,053.42 = 3,305.98/x
  3. Step 3: Cross multiply
    10,702.36x = 16,053.42 × 3,305.98
  4. Step 4: Simplify right side
    10,702.36x = 53,072,285.45
  5. Step 5: Solve for x
    x = 53,072,285.45/10,702.36
  6. Step 6: Final answer
    x = 4,958.93

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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.