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Finding the Fourth Proportional to 10,702.68, 16,054.02 and 3,306.98

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Solution

The fourth proportional to 10,702.68, 16,054.02 and 3,306.98 is: 4,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.68 : 16,054.02 = 3,306.98 : x
  2. Step 2: Convert to fraction form
    10,702.68/16,054.02 = 3,306.98/x
  3. Step 3: Cross multiply
    10,702.68x = 16,054.02 × 3,306.98
  4. Step 4: Simplify right side
    10,702.68x = 53,090,282.19
  5. Step 5: Solve for x
    x = 53,090,282.19/10,702.68
  6. Step 6: Final answer
    x = 4,960.47

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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.