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Finding the Fourth Proportional to 7,641.44, 11,463.95 and 2,376.18

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Solution

The fourth proportional to 7,641.44, 11,463.95 and 2,376.18 is: 3,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.44 : 11,463.95 = 2,376.18 : x
  2. Step 2: Convert to fraction form
    7,641.44/11,463.95 = 2,376.18/x
  3. Step 3: Cross multiply
    7,641.44x = 11,463.95 × 2,376.18
  4. Step 4: Simplify right side
    7,641.44x = 27,240,408.71
  5. Step 5: Solve for x
    x = 27,240,408.71/7,641.44
  6. Step 6: Final answer
    x = 3,564.83

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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.