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Finding the Fourth Proportional to 7,811.99, 11,726.09 and 5,232.95

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Solution

The fourth proportional to 7,811.99, 11,726.09 and 5,232.95 is: 7,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.99 : 11,726.09 = 5,232.95 : x
  2. Step 2: Convert to fraction form
    7,811.99/11,726.09 = 5,232.95/x
  3. Step 3: Cross multiply
    7,811.99x = 11,726.09 × 5,232.95
  4. Step 4: Simplify right side
    7,811.99x = 61,362,016.50
  5. Step 5: Solve for x
    x = 61,362,016.50/7,811.99
  6. Step 6: Final answer
    x = 7,854.85

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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.