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Finding the Fourth Proportional to 10,653.85, 14,701.26 and 5,937.63

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Solution

The fourth proportional to 10,653.85, 14,701.26 and 5,937.63 is: 8,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.85 : 14,701.26 = 5,937.63 : x
  2. Step 2: Convert to fraction form
    10,653.85/14,701.26 = 5,937.63/x
  3. Step 3: Cross multiply
    10,653.85x = 14,701.26 × 5,937.63
  4. Step 4: Simplify right side
    10,653.85x = 87,290,568.91
  5. Step 5: Solve for x
    x = 87,290,568.91/10,653.85
  6. Step 6: Final answer
    x = 8,193.34

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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.