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Finding the Fourth Proportional to 7,706.56, 11,550.40 and 3,314.72

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Solution

The fourth proportional to 7,706.56, 11,550.40 and 3,314.72 is: 4,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.56 : 11,550.40 = 3,314.72 : x
  2. Step 2: Convert to fraction form
    7,706.56/11,550.40 = 3,314.72/x
  3. Step 3: Cross multiply
    7,706.56x = 11,550.40 × 3,314.72
  4. Step 4: Simplify right side
    7,706.56x = 38,286,341.89
  5. Step 5: Solve for x
    x = 38,286,341.89/7,706.56
  6. Step 6: Final answer
    x = 4,968.02

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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.