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Finding the Fourth Proportional to 10,692.30, 16,038.45 and 8,489.10

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Solution

The fourth proportional to 10,692.30, 16,038.45 and 8,489.10 is: 12,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.30 : 16,038.45 = 8,489.10 : x
  2. Step 2: Convert to fraction form
    10,692.30/16,038.45 = 8,489.10/x
  3. Step 3: Cross multiply
    10,692.30x = 16,038.45 × 8,489.10
  4. Step 4: Simplify right side
    10,692.30x = 136,152,005.90
  5. Step 5: Solve for x
    x = 136,152,005.90/10,692.30
  6. Step 6: Final answer
    x = 12,733.65

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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.