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Finding the Fourth Proportional to 7,696.02, 11,544.11 and 2,430.93

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Solution

The fourth proportional to 7,696.02, 11,544.11 and 2,430.93 is: 3,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.02 : 11,544.11 = 2,430.93 : x
  2. Step 2: Convert to fraction form
    7,696.02/11,544.11 = 2,430.93/x
  3. Step 3: Cross multiply
    7,696.02x = 11,544.11 × 2,430.93
  4. Step 4: Simplify right side
    7,696.02x = 28,062,923.32
  5. Step 5: Solve for x
    x = 28,062,923.32/7,696.02
  6. Step 6: Final answer
    x = 3,646.42

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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.