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Finding the Fourth Proportional to 7,570.90, 10,438.74 and 6,313.78

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Solution

The fourth proportional to 7,570.90, 10,438.74 and 6,313.78 is: 8,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.90 : 10,438.74 = 6,313.78 : x
  2. Step 2: Convert to fraction form
    7,570.90/10,438.74 = 6,313.78/x
  3. Step 3: Cross multiply
    7,570.90x = 10,438.74 × 6,313.78
  4. Step 4: Simplify right side
    7,570.90x = 65,907,907.84
  5. Step 5: Solve for x
    x = 65,907,907.84/7,570.90
  6. Step 6: Final answer
    x = 8,705.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.