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Finding the Fourth Proportional to 5,111.40, 7,667.10 and 4,941.30

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Solution

The fourth proportional to 5,111.40, 7,667.10 and 4,941.30 is: 7,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.40 : 7,667.10 = 4,941.30 : x
  2. Step 2: Convert to fraction form
    5,111.40/7,667.10 = 4,941.30/x
  3. Step 3: Cross multiply
    5,111.40x = 7,667.10 × 4,941.30
  4. Step 4: Simplify right side
    5,111.40x = 37,885,441.23
  5. Step 5: Solve for x
    x = 37,885,441.23/5,111.40
  6. Step 6: Final answer
    x = 7,411.95

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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.