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Finding the Fourth Proportional to 11,603.07, 16,004.30 and 7,409.43

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Solution

The fourth proportional to 11,603.07, 16,004.30 and 7,409.43 is: 10,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.07 : 16,004.30 = 7,409.43 : x
  2. Step 2: Convert to fraction form
    11,603.07/16,004.30 = 7,409.43/x
  3. Step 3: Cross multiply
    11,603.07x = 16,004.30 × 7,409.43
  4. Step 4: Simplify right side
    11,603.07x = 118,582,740.55
  5. Step 5: Solve for x
    x = 118,582,740.55/11,603.07
  6. Step 6: Final answer
    x = 10,219.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.