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Finding the Fourth Proportional to 7,464.84, 10,302.12 and 4,108.32

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Solution

The fourth proportional to 7,464.84, 10,302.12 and 4,108.32 is: 5,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.84 : 10,302.12 = 4,108.32 : x
  2. Step 2: Convert to fraction form
    7,464.84/10,302.12 = 4,108.32/x
  3. Step 3: Cross multiply
    7,464.84x = 10,302.12 × 4,108.32
  4. Step 4: Simplify right side
    7,464.84x = 42,324,405.64
  5. Step 5: Solve for x
    x = 42,324,405.64/7,464.84
  6. Step 6: Final answer
    x = 5,669.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.