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Finding the Fourth Proportional to 7,603.75, 11,405.63 and 2,409.63

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Solution

The fourth proportional to 7,603.75, 11,405.63 and 2,409.63 is: 3,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.75 : 11,405.63 = 2,409.63 : x
  2. Step 2: Convert to fraction form
    7,603.75/11,405.63 = 2,409.63/x
  3. Step 3: Cross multiply
    7,603.75x = 11,405.63 × 2,409.63
  4. Step 4: Simplify right side
    7,603.75x = 27,483,348.22
  5. Step 5: Solve for x
    x = 27,483,348.22/7,603.75
  6. Step 6: Final answer
    x = 3,614.45

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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.