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Finding the Fourth Proportional to 8,775.12, 13,114.14 and 7,861.44

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Solution

The fourth proportional to 8,775.12, 13,114.14 and 7,861.44 is: 11,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.12 : 13,114.14 = 7,861.44 : x
  2. Step 2: Convert to fraction form
    8,775.12/13,114.14 = 7,861.44/x
  3. Step 3: Cross multiply
    8,775.12x = 13,114.14 × 7,861.44
  4. Step 4: Simplify right side
    8,775.12x = 103,096,024.76
  5. Step 5: Solve for x
    x = 103,096,024.76/8,775.12
  6. Step 6: Final answer
    x = 11,748.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.