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Finding the Fourth Proportional to 6,950.30, 10,425.45 and 5,978.30

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Solution

The fourth proportional to 6,950.30, 10,425.45 and 5,978.30 is: 8,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.30 : 10,425.45 = 5,978.30 : x
  2. Step 2: Convert to fraction form
    6,950.30/10,425.45 = 5,978.30/x
  3. Step 3: Cross multiply
    6,950.30x = 10,425.45 × 5,978.30
  4. Step 4: Simplify right side
    6,950.30x = 62,326,467.74
  5. Step 5: Solve for x
    x = 62,326,467.74/6,950.30
  6. Step 6: Final answer
    x = 8,967.45

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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.