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Finding the Fourth Proportional to 7,531.56, 11,302.08 and 2,914.56

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Solution

The fourth proportional to 7,531.56, 11,302.08 and 2,914.56 is: 4,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.56 : 11,302.08 = 2,914.56 : x
  2. Step 2: Convert to fraction form
    7,531.56/11,302.08 = 2,914.56/x
  3. Step 3: Cross multiply
    7,531.56x = 11,302.08 × 2,914.56
  4. Step 4: Simplify right side
    7,531.56x = 32,940,590.28
  5. Step 5: Solve for x
    x = 32,940,590.28/7,531.56
  6. Step 6: Final answer
    x = 4,373.67

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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.