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Finding the Fourth Proportional to 10,692.51, 16,024.19 and 6,533.97

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Solution

The fourth proportional to 10,692.51, 16,024.19 and 6,533.97 is: 9,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.51 : 16,024.19 = 6,533.97 : x
  2. Step 2: Convert to fraction form
    10,692.51/16,024.19 = 6,533.97/x
  3. Step 3: Cross multiply
    10,692.51x = 16,024.19 × 6,533.97
  4. Step 4: Simplify right side
    10,692.51x = 104,701,544.06
  5. Step 5: Solve for x
    x = 104,701,544.06/10,692.51
  6. Step 6: Final answer
    x = 9,792.05

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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.