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Finding the Fourth Proportional to 11,823.99, 17,719.52 and 5,973.77

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Solution

The fourth proportional to 11,823.99, 17,719.52 and 5,973.77 is: 8,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.99 : 17,719.52 = 5,973.77 : x
  2. Step 2: Convert to fraction form
    11,823.99/17,719.52 = 5,973.77/x
  3. Step 3: Cross multiply
    11,823.99x = 17,719.52 × 5,973.77
  4. Step 4: Simplify right side
    11,823.99x = 105,852,218.52
  5. Step 5: Solve for x
    x = 105,852,218.52/11,823.99
  6. Step 6: Final answer
    x = 8,952.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.