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Finding the Fourth Proportional to 10,139.96, 13,992.90 and 5,663.54

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Solution

The fourth proportional to 10,139.96, 13,992.90 and 5,663.54 is: 7,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.96 : 13,992.90 = 5,663.54 : x
  2. Step 2: Convert to fraction form
    10,139.96/13,992.90 = 5,663.54/x
  3. Step 3: Cross multiply
    10,139.96x = 13,992.90 × 5,663.54
  4. Step 4: Simplify right side
    10,139.96x = 79,249,348.87
  5. Step 5: Solve for x
    x = 79,249,348.87/10,139.96
  6. Step 6: Final answer
    x = 7,815.55

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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.