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Finding the Fourth Proportional to 10,907.46, 16,323.93 and 6,745.68

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Solution

The fourth proportional to 10,907.46, 16,323.93 and 6,745.68 is: 10,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.46 : 16,323.93 = 6,745.68 : x
  2. Step 2: Convert to fraction form
    10,907.46/16,323.93 = 6,745.68/x
  3. Step 3: Cross multiply
    10,907.46x = 16,323.93 × 6,745.68
  4. Step 4: Simplify right side
    10,907.46x = 110,116,008.12
  5. Step 5: Solve for x
    x = 110,116,008.12/10,907.46
  6. Step 6: Final answer
    x = 10,095.48

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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.