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Finding the Fourth Proportional to 8,457.50, 12,692.02 and 2,985.50

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Solution

The fourth proportional to 8,457.50, 12,692.02 and 2,985.50 is: 4,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.50 : 12,692.02 = 2,985.50 : x
  2. Step 2: Convert to fraction form
    8,457.50/12,692.02 = 2,985.50/x
  3. Step 3: Cross multiply
    8,457.50x = 12,692.02 × 2,985.50
  4. Step 4: Simplify right side
    8,457.50x = 37,892,025.71
  5. Step 5: Solve for x
    x = 37,892,025.71/8,457.50
  6. Step 6: Final answer
    x = 4,480.29

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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.