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Finding the Fourth Proportional to 10,747.48, 14,835.54 and 6,971.44

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Solution

The fourth proportional to 10,747.48, 14,835.54 and 6,971.44 is: 9,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.48 : 14,835.54 = 6,971.44 : x
  2. Step 2: Convert to fraction form
    10,747.48/14,835.54 = 6,971.44/x
  3. Step 3: Cross multiply
    10,747.48x = 14,835.54 × 6,971.44
  4. Step 4: Simplify right side
    10,747.48x = 103,425,076.98
  5. Step 5: Solve for x
    x = 103,425,076.98/10,747.48
  6. Step 6: Final answer
    x = 9,623.19

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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.