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Finding the Fourth Proportional to 7,790.76, 11,676.96 and 5,123.70

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Solution

The fourth proportional to 7,790.76, 11,676.96 and 5,123.70 is: 7,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.76 : 11,676.96 = 5,123.70 : x
  2. Step 2: Convert to fraction form
    7,790.76/11,676.96 = 5,123.70/x
  3. Step 3: Cross multiply
    7,790.76x = 11,676.96 × 5,123.70
  4. Step 4: Simplify right side
    7,790.76x = 59,829,239.95
  5. Step 5: Solve for x
    x = 59,829,239.95/7,790.76
  6. Step 6: Final answer
    x = 7,679.51

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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.