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Finding the Fourth Proportional to 10,653.86, 14,702.40 and 5,938.22

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Solution

The fourth proportional to 10,653.86, 14,702.40 and 5,938.22 is: 8,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.86 : 14,702.40 = 5,938.22 : x
  2. Step 2: Convert to fraction form
    10,653.86/14,702.40 = 5,938.22/x
  3. Step 3: Cross multiply
    10,653.86x = 14,702.40 × 5,938.22
  4. Step 4: Simplify right side
    10,653.86x = 87,306,085.73
  5. Step 5: Solve for x
    x = 87,306,085.73/10,653.86
  6. Step 6: Final answer
    x = 8,194.78

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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.