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Finding the Fourth Proportional to 7,690.63, 11,538.04 and 2,496.51

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Solution

The fourth proportional to 7,690.63, 11,538.04 and 2,496.51 is: 3,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.63 : 11,538.04 = 2,496.51 : x
  2. Step 2: Convert to fraction form
    7,690.63/11,538.04 = 2,496.51/x
  3. Step 3: Cross multiply
    7,690.63x = 11,538.04 × 2,496.51
  4. Step 4: Simplify right side
    7,690.63x = 28,804,832.24
  5. Step 5: Solve for x
    x = 28,804,832.24/7,690.63
  6. Step 6: Final answer
    x = 3,745.45

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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.