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Finding the Fourth Proportional to 11,538.77, 15,923.96 and 6,503.20

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Solution

The fourth proportional to 11,538.77, 15,923.96 and 6,503.20 is: 8,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.77 : 15,923.96 = 6,503.20 : x
  2. Step 2: Convert to fraction form
    11,538.77/15,923.96 = 6,503.20/x
  3. Step 3: Cross multiply
    11,538.77x = 15,923.96 × 6,503.20
  4. Step 4: Simplify right side
    11,538.77x = 103,556,673.12
  5. Step 5: Solve for x
    x = 103,556,673.12/11,538.77
  6. Step 6: Final answer
    x = 8,974.68

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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.