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Finding the Fourth Proportional to 7,180.94, 9,907.97 and 4,786.17

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Solution

The fourth proportional to 7,180.94, 9,907.97 and 4,786.17 is: 6,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.94 : 9,907.97 = 4,786.17 : x
  2. Step 2: Convert to fraction form
    7,180.94/9,907.97 = 4,786.17/x
  3. Step 3: Cross multiply
    7,180.94x = 9,907.97 × 4,786.17
  4. Step 4: Simplify right side
    7,180.94x = 47,421,204.84
  5. Step 5: Solve for x
    x = 47,421,204.84/7,180.94
  6. Step 6: Final answer
    x = 6,603.76

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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.