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Finding the Fourth Proportional to 10,653.37, 14,702.06 and 5,937.96

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Solution

The fourth proportional to 10,653.37, 14,702.06 and 5,937.96 is: 8,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.37 : 14,702.06 = 5,937.96 : x
  2. Step 2: Convert to fraction form
    10,653.37/14,702.06 = 5,937.96/x
  3. Step 3: Cross multiply
    10,653.37x = 14,702.06 × 5,937.96
  4. Step 4: Simplify right side
    10,653.37x = 87,300,244.20
  5. Step 5: Solve for x
    x = 87,300,244.20/10,653.37
  6. Step 6: Final answer
    x = 8,194.61

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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.