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Finding the Fourth Proportional to 7,385.84, 11,052.73 and 4,613.82

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Solution

The fourth proportional to 7,385.84, 11,052.73 and 4,613.82 is: 6,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.84 : 11,052.73 = 4,613.82 : x
  2. Step 2: Convert to fraction form
    7,385.84/11,052.73 = 4,613.82/x
  3. Step 3: Cross multiply
    7,385.84x = 11,052.73 × 4,613.82
  4. Step 4: Simplify right side
    7,385.84x = 50,995,251.46
  5. Step 5: Solve for x
    x = 50,995,251.46/7,385.84
  6. Step 6: Final answer
    x = 6,904.47

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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.