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Finding the Fourth Proportional to 7,598.70, 11,402 and 5,749.27

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Solution

The fourth proportional to 7,598.70, 11,402 and 5,749.27 is: 8,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.70 : 11,402 = 5,749.27 : x
  2. Step 2: Convert to fraction form
    7,598.70/11,402 = 5,749.27/x
  3. Step 3: Cross multiply
    7,598.70x = 11,402 × 5,749.27
  4. Step 4: Simplify right side
    7,598.70x = 65,553,176.54
  5. Step 5: Solve for x
    x = 65,553,176.54/7,598.70
  6. Step 6: Final answer
    x = 8,626.89

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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.