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Finding the Fourth Proportional to 8,510.34, 11,741.05 and 5,278.67

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Solution

The fourth proportional to 8,510.34, 11,741.05 and 5,278.67 is: 7,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.34 : 11,741.05 = 5,278.67 : x
  2. Step 2: Convert to fraction form
    8,510.34/11,741.05 = 5,278.67/x
  3. Step 3: Cross multiply
    8,510.34x = 11,741.05 × 5,278.67
  4. Step 4: Simplify right side
    8,510.34x = 61,977,120.33
  5. Step 5: Solve for x
    x = 61,977,120.33/8,510.34
  6. Step 6: Final answer
    x = 7,282.57

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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.