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Finding the Fourth Proportional to 7,681.41, 11,521.71 and 3,784.50

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Solution

The fourth proportional to 7,681.41, 11,521.71 and 3,784.50 is: 5,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.41 : 11,521.71 = 3,784.50 : x
  2. Step 2: Convert to fraction form
    7,681.41/11,521.71 = 3,784.50/x
  3. Step 3: Cross multiply
    7,681.41x = 11,521.71 × 3,784.50
  4. Step 4: Simplify right side
    7,681.41x = 43,603,911.50
  5. Step 5: Solve for x
    x = 43,603,911.50/7,681.41
  6. Step 6: Final answer
    x = 5,676.55

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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.