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Finding the Fourth Proportional to 7,009.85, 10,507.68 and 4,546.24

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Solution

The fourth proportional to 7,009.85, 10,507.68 and 4,546.24 is: 6,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.85 : 10,507.68 = 4,546.24 : x
  2. Step 2: Convert to fraction form
    7,009.85/10,507.68 = 4,546.24/x
  3. Step 3: Cross multiply
    7,009.85x = 10,507.68 × 4,546.24
  4. Step 4: Simplify right side
    7,009.85x = 47,770,408.85
  5. Step 5: Solve for x
    x = 47,770,408.85/7,009.85
  6. Step 6: Final answer
    x = 6,814.75

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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.