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Finding the Fourth Proportional to 7,641.69, 11,463.74 and 3,259.18

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Solution

The fourth proportional to 7,641.69, 11,463.74 and 3,259.18 is: 4,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.69 : 11,463.74 = 3,259.18 : x
  2. Step 2: Convert to fraction form
    7,641.69/11,463.74 = 3,259.18/x
  3. Step 3: Cross multiply
    7,641.69x = 11,463.74 × 3,259.18
  4. Step 4: Simplify right side
    7,641.69x = 37,362,392.13
  5. Step 5: Solve for x
    x = 37,362,392.13/7,641.69
  6. Step 6: Final answer
    x = 4,889.28

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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.