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Finding the Fourth Proportional to 6,778.16, 10,159.86 and 4,314.08

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Solution

The fourth proportional to 6,778.16, 10,159.86 and 4,314.08 is: 6,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.16 : 10,159.86 = 4,314.08 : x
  2. Step 2: Convert to fraction form
    6,778.16/10,159.86 = 4,314.08/x
  3. Step 3: Cross multiply
    6,778.16x = 10,159.86 × 4,314.08
  4. Step 4: Simplify right side
    6,778.16x = 43,830,448.83
  5. Step 5: Solve for x
    x = 43,830,448.83/6,778.16
  6. Step 6: Final answer
    x = 6,466.42

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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.