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Finding the Fourth Proportional to 7,570.60, 11,334.30 and 6,706.60

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Solution

The fourth proportional to 7,570.60, 11,334.30 and 6,706.60 is: 10,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.60 : 11,334.30 = 6,706.60 : x
  2. Step 2: Convert to fraction form
    7,570.60/11,334.30 = 6,706.60/x
  3. Step 3: Cross multiply
    7,570.60x = 11,334.30 × 6,706.60
  4. Step 4: Simplify right side
    7,570.60x = 76,014,616.38
  5. Step 5: Solve for x
    x = 76,014,616.38/7,570.60
  6. Step 6: Final answer
    x = 10,040.77

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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.