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Finding the Fourth Proportional to 7,577.94, 11,368.70 and 2,383.82

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Solution

The fourth proportional to 7,577.94, 11,368.70 and 2,383.82 is: 3,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.94 : 11,368.70 = 2,383.82 : x
  2. Step 2: Convert to fraction form
    7,577.94/11,368.70 = 2,383.82/x
  3. Step 3: Cross multiply
    7,577.94x = 11,368.70 × 2,383.82
  4. Step 4: Simplify right side
    7,577.94x = 27,100,934.43
  5. Step 5: Solve for x
    x = 27,100,934.43/7,577.94
  6. Step 6: Final answer
    x = 3,576.29

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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.