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Finding the Fourth Proportional to 7,678.01, 11,539.74 and 6,370.25

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Solution

The fourth proportional to 7,678.01, 11,539.74 and 6,370.25 is: 9,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.01 : 11,539.74 = 6,370.25 : x
  2. Step 2: Convert to fraction form
    7,678.01/11,539.74 = 6,370.25/x
  3. Step 3: Cross multiply
    7,678.01x = 11,539.74 × 6,370.25
  4. Step 4: Simplify right side
    7,678.01x = 73,511,014.31
  5. Step 5: Solve for x
    x = 73,511,014.31/7,678.01
  6. Step 6: Final answer
    x = 9,574.22

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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.