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Finding the Fourth Proportional to 7,577.52, 11,364.40 and 2,383.40

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Solution

The fourth proportional to 7,577.52, 11,364.40 and 2,383.40 is: 3,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.52 : 11,364.40 = 2,383.40 : x
  2. Step 2: Convert to fraction form
    7,577.52/11,364.40 = 2,383.40/x
  3. Step 3: Cross multiply
    7,577.52x = 11,364.40 × 2,383.40
  4. Step 4: Simplify right side
    7,577.52x = 27,085,910.96
  5. Step 5: Solve for x
    x = 27,085,910.96/7,577.52
  6. Step 6: Final answer
    x = 3,574.51

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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.