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Finding the Fourth Proportional to 8,102.02, 12,153.04 and 4,636.84

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Solution

The fourth proportional to 8,102.02, 12,153.04 and 4,636.84 is: 6,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.02 : 12,153.04 = 4,636.84 : x
  2. Step 2: Convert to fraction form
    8,102.02/12,153.04 = 4,636.84/x
  3. Step 3: Cross multiply
    8,102.02x = 12,153.04 × 4,636.84
  4. Step 4: Simplify right side
    8,102.02x = 56,351,701.99
  5. Step 5: Solve for x
    x = 56,351,701.99/8,102.02
  6. Step 6: Final answer
    x = 6,955.27

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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.