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Finding the Fourth Proportional to 10,692.36, 16,038.54 and 2,902.32

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Solution

The fourth proportional to 10,692.36, 16,038.54 and 2,902.32 is: 4,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.36 : 16,038.54 = 2,902.32 : x
  2. Step 2: Convert to fraction form
    10,692.36/16,038.54 = 2,902.32/x
  3. Step 3: Cross multiply
    10,692.36x = 16,038.54 × 2,902.32
  4. Step 4: Simplify right side
    10,692.36x = 46,548,975.41
  5. Step 5: Solve for x
    x = 46,548,975.41/10,692.36
  6. Step 6: Final answer
    x = 4,353.48

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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.