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Finding the Fourth Proportional to 7,703.94, 11,557.34 and 2,440.28

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Solution

The fourth proportional to 7,703.94, 11,557.34 and 2,440.28 is: 3,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.94 : 11,557.34 = 2,440.28 : x
  2. Step 2: Convert to fraction form
    7,703.94/11,557.34 = 2,440.28/x
  3. Step 3: Cross multiply
    7,703.94x = 11,557.34 × 2,440.28
  4. Step 4: Simplify right side
    7,703.94x = 28,203,075.67
  5. Step 5: Solve for x
    x = 28,203,075.67/7,703.94
  6. Step 6: Final answer
    x = 3,660.86

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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.