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Finding the Fourth Proportional to 7,503.57, 11,255.58 and 2,309.46

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Solution

The fourth proportional to 7,503.57, 11,255.58 and 2,309.46 is: 3,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.57 : 11,255.58 = 2,309.46 : x
  2. Step 2: Convert to fraction form
    7,503.57/11,255.58 = 2,309.46/x
  3. Step 3: Cross multiply
    7,503.57x = 11,255.58 × 2,309.46
  4. Step 4: Simplify right side
    7,503.57x = 25,994,311.79
  5. Step 5: Solve for x
    x = 25,994,311.79/7,503.57
  6. Step 6: Final answer
    x = 3,464.26

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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.