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Finding the Fourth Proportional to 8,477.16, 12,699.34 and 4,768.12

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Solution

The fourth proportional to 8,477.16, 12,699.34 and 4,768.12 is: 7,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.16 : 12,699.34 = 4,768.12 : x
  2. Step 2: Convert to fraction form
    8,477.16/12,699.34 = 4,768.12/x
  3. Step 3: Cross multiply
    8,477.16x = 12,699.34 × 4,768.12
  4. Step 4: Simplify right side
    8,477.16x = 60,551,977.04
  5. Step 5: Solve for x
    x = 60,551,977.04/8,477.16
  6. Step 6: Final answer
    x = 7,142.96

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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.