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Finding the Fourth Proportional to 7,503.76, 11,255.32 and 2,309.52

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Solution

The fourth proportional to 7,503.76, 11,255.32 and 2,309.52 is: 3,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.76 : 11,255.32 = 2,309.52 : x
  2. Step 2: Convert to fraction form
    7,503.76/11,255.32 = 2,309.52/x
  3. Step 3: Cross multiply
    7,503.76x = 11,255.32 × 2,309.52
  4. Step 4: Simplify right side
    7,503.76x = 25,994,386.65
  5. Step 5: Solve for x
    x = 25,994,386.65/7,503.76
  6. Step 6: Final answer
    x = 3,464.18

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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.