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Finding the Fourth Proportional to 7,642.94, 11,466.20 and 2,377.68

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Solution

The fourth proportional to 7,642.94, 11,466.20 and 2,377.68 is: 3,567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.94 : 11,466.20 = 2,377.68 : x
  2. Step 2: Convert to fraction form
    7,642.94/11,466.20 = 2,377.68/x
  3. Step 3: Cross multiply
    7,642.94x = 11,466.20 × 2,377.68
  4. Step 4: Simplify right side
    7,642.94x = 27,262,954.42
  5. Step 5: Solve for x
    x = 27,262,954.42/7,642.94
  6. Step 6: Final answer
    x = 3,567.08

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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.