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Finding the Fourth Proportional to 6,778.30, 10,148.28 and 4,307

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Solution

The fourth proportional to 6,778.30, 10,148.28 and 4,307 is: 6,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.30 : 10,148.28 = 4,307 : x
  2. Step 2: Convert to fraction form
    6,778.30/10,148.28 = 4,307/x
  3. Step 3: Cross multiply
    6,778.30x = 10,148.28 × 4,307
  4. Step 4: Simplify right side
    6,778.30x = 43,708,641.96
  5. Step 5: Solve for x
    x = 43,708,641.96/6,778.30
  6. Step 6: Final answer
    x = 6,448.32

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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.