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Finding the Fourth Proportional to 7,641.36, 11,463.06 and 3,023.28

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Solution

The fourth proportional to 7,641.36, 11,463.06 and 3,023.28 is: 4,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.36 : 11,463.06 = 3,023.28 : x
  2. Step 2: Convert to fraction form
    7,641.36/11,463.06 = 3,023.28/x
  3. Step 3: Cross multiply
    7,641.36x = 11,463.06 × 3,023.28
  4. Step 4: Simplify right side
    7,641.36x = 34,656,040.04
  5. Step 5: Solve for x
    x = 34,656,040.04/7,641.36
  6. Step 6: Final answer
    x = 4,535.32

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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.