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Finding the Fourth Proportional to 7,577.99, 11,362.86 and 4,072.17

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Solution

The fourth proportional to 7,577.99, 11,362.86 and 4,072.17 is: 6,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.99 : 11,362.86 = 4,072.17 : x
  2. Step 2: Convert to fraction form
    7,577.99/11,362.86 = 4,072.17/x
  3. Step 3: Cross multiply
    7,577.99x = 11,362.86 × 4,072.17
  4. Step 4: Simplify right side
    7,577.99x = 46,271,497.61
  5. Step 5: Solve for x
    x = 46,271,497.61/7,577.99
  6. Step 6: Final answer
    x = 6,106.04

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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.