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Finding the Fourth Proportional to 7,599.80, 11,412.30 and 4,696.55

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Solution

The fourth proportional to 7,599.80, 11,412.30 and 4,696.55 is: 7,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,599.80 : 11,412.30 = 4,696.55 : x
  2. Step 2: Convert to fraction form
    7,599.80/11,412.30 = 4,696.55/x
  3. Step 3: Cross multiply
    7,599.80x = 11,412.30 × 4,696.55
  4. Step 4: Simplify right side
    7,599.80x = 53,598,505.11
  5. Step 5: Solve for x
    x = 53,598,505.11/7,599.80
  6. Step 6: Final answer
    x = 7,052.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.