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Finding the Fourth Proportional to 7,804.44, 11,677.86 and 4,686.35

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Solution

The fourth proportional to 7,804.44, 11,677.86 and 4,686.35 is: 7,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.44 : 11,677.86 = 4,686.35 : x
  2. Step 2: Convert to fraction form
    7,804.44/11,677.86 = 4,686.35/x
  3. Step 3: Cross multiply
    7,804.44x = 11,677.86 × 4,686.35
  4. Step 4: Simplify right side
    7,804.44x = 54,726,480.82
  5. Step 5: Solve for x
    x = 54,726,480.82/7,804.44
  6. Step 6: Final answer
    x = 7,012.22

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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.