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Finding the Fourth Proportional to 10,923.90, 16,385.94 and 6,775.98

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Solution

The fourth proportional to 10,923.90, 16,385.94 and 6,775.98 is: 10,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.90 : 16,385.94 = 6,775.98 : x
  2. Step 2: Convert to fraction form
    10,923.90/16,385.94 = 6,775.98/x
  3. Step 3: Cross multiply
    10,923.90x = 16,385.94 × 6,775.98
  4. Step 4: Simplify right side
    10,923.90x = 111,030,801.72
  5. Step 5: Solve for x
    x = 111,030,801.72/10,923.90
  6. Step 6: Final answer
    x = 10,164.03

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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.