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Finding the Fourth Proportional to 7,603.74, 11,405.70 and 2,409.66

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Solution

The fourth proportional to 7,603.74, 11,405.70 and 2,409.66 is: 3,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.74 : 11,405.70 = 2,409.66 : x
  2. Step 2: Convert to fraction form
    7,603.74/11,405.70 = 2,409.66/x
  3. Step 3: Cross multiply
    7,603.74x = 11,405.70 × 2,409.66
  4. Step 4: Simplify right side
    7,603.74x = 27,483,859.06
  5. Step 5: Solve for x
    x = 27,483,859.06/7,603.74
  6. Step 6: Final answer
    x = 3,614.52

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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.