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Finding the Fourth Proportional to 7,509.39, 11,264.07 and 3,069.14

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Solution

The fourth proportional to 7,509.39, 11,264.07 and 3,069.14 is: 4,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.39 : 11,264.07 = 3,069.14 : x
  2. Step 2: Convert to fraction form
    7,509.39/11,264.07 = 3,069.14/x
  3. Step 3: Cross multiply
    7,509.39x = 11,264.07 × 3,069.14
  4. Step 4: Simplify right side
    7,509.39x = 34,571,026.35
  5. Step 5: Solve for x
    x = 34,571,026.35/7,509.39
  6. Step 6: Final answer
    x = 4,603.71

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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.