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Finding the Fourth Proportional to 8,311.95, 12,457.51 and 4,153.12

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Solution

The fourth proportional to 8,311.95, 12,457.51 and 4,153.12 is: 6,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.95 : 12,457.51 = 4,153.12 : x
  2. Step 2: Convert to fraction form
    8,311.95/12,457.51 = 4,153.12/x
  3. Step 3: Cross multiply
    8,311.95x = 12,457.51 × 4,153.12
  4. Step 4: Simplify right side
    8,311.95x = 51,737,492.40
  5. Step 5: Solve for x
    x = 51,737,492.40/8,311.95
  6. Step 6: Final answer
    x = 6,224.47

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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.