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Finding the Fourth Proportional to 11,804.22, 17,710.02 and 7,415.64

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Solution

The fourth proportional to 11,804.22, 17,710.02 and 7,415.64 is: 11,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.22 : 17,710.02 = 7,415.64 : x
  2. Step 2: Convert to fraction form
    11,804.22/17,710.02 = 7,415.64/x
  3. Step 3: Cross multiply
    11,804.22x = 17,710.02 × 7,415.64
  4. Step 4: Simplify right side
    11,804.22x = 131,331,132.71
  5. Step 5: Solve for x
    x = 131,331,132.71/11,804.22
  6. Step 6: Final answer
    x = 11,125.78

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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.