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Finding the Fourth Proportional to 7,677.51, 11,505.12 and 4,164.54

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Solution

The fourth proportional to 7,677.51, 11,505.12 and 4,164.54 is: 6,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.51 : 11,505.12 = 4,164.54 : x
  2. Step 2: Convert to fraction form
    7,677.51/11,505.12 = 4,164.54/x
  3. Step 3: Cross multiply
    7,677.51x = 11,505.12 × 4,164.54
  4. Step 4: Simplify right side
    7,677.51x = 47,913,532.44
  5. Step 5: Solve for x
    x = 47,913,532.44/7,677.51
  6. Step 6: Final answer
    x = 6,240.76

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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.