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Finding the Fourth Proportional to 10,001.96, 13,814.34 and 7,638.92

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Solution

The fourth proportional to 10,001.96, 13,814.34 and 7,638.92 is: 10,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.96 : 13,814.34 = 7,638.92 : x
  2. Step 2: Convert to fraction form
    10,001.96/13,814.34 = 7,638.92/x
  3. Step 3: Cross multiply
    10,001.96x = 13,814.34 × 7,638.92
  4. Step 4: Simplify right side
    10,001.96x = 105,526,638.11
  5. Step 5: Solve for x
    x = 105,526,638.11/10,001.96
  6. Step 6: Final answer
    x = 10,550.60

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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.