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Finding the Fourth Proportional to 11,560.77, 17,344.64 and 4,893.84

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Solution

The fourth proportional to 11,560.77, 17,344.64 and 4,893.84 is: 7,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.77 : 17,344.64 = 4,893.84 : x
  2. Step 2: Convert to fraction form
    11,560.77/17,344.64 = 4,893.84/x
  3. Step 3: Cross multiply
    11,560.77x = 17,344.64 × 4,893.84
  4. Step 4: Simplify right side
    11,560.77x = 84,881,905.25
  5. Step 5: Solve for x
    x = 84,881,905.25/11,560.77
  6. Step 6: Final answer
    x = 7,342.24

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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.