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Finding the Fourth Proportional to 7,656.78, 11,474.46 and 4,139.19

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Solution

The fourth proportional to 7,656.78, 11,474.46 and 4,139.19 is: 6,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.78 : 11,474.46 = 4,139.19 : x
  2. Step 2: Convert to fraction form
    7,656.78/11,474.46 = 4,139.19/x
  3. Step 3: Cross multiply
    7,656.78x = 11,474.46 × 4,139.19
  4. Step 4: Simplify right side
    7,656.78x = 47,494,970.09
  5. Step 5: Solve for x
    x = 47,494,970.09/7,656.78
  6. Step 6: Final answer
    x = 6,203.00

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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.