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Finding the Fourth Proportional to 11,750.95, 17,632.49 and 7,804.93

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Solution

The fourth proportional to 11,750.95, 17,632.49 and 7,804.93 is: 11,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.95 : 17,632.49 = 7,804.93 : x
  2. Step 2: Convert to fraction form
    11,750.95/17,632.49 = 7,804.93/x
  3. Step 3: Cross multiply
    11,750.95x = 17,632.49 × 7,804.93
  4. Step 4: Simplify right side
    11,750.95x = 137,620,355.23
  5. Step 5: Solve for x
    x = 137,620,355.23/11,750.95
  6. Step 6: Final answer
    x = 11,711.43

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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.