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Finding the Fourth Proportional to 7,596.14, 10,475.01 and 5,078.26

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Solution

The fourth proportional to 7,596.14, 10,475.01 and 5,078.26 is: 7,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.14 : 10,475.01 = 5,078.26 : x
  2. Step 2: Convert to fraction form
    7,596.14/10,475.01 = 5,078.26/x
  3. Step 3: Cross multiply
    7,596.14x = 10,475.01 × 5,078.26
  4. Step 4: Simplify right side
    7,596.14x = 53,194,824.28
  5. Step 5: Solve for x
    x = 53,194,824.28/7,596.14
  6. Step 6: Final answer
    x = 7,002.88

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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.