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Finding the Fourth Proportional to 7,890.96, 11,830.32 and 5,111.76

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Solution

The fourth proportional to 7,890.96, 11,830.32 and 5,111.76 is: 7,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.96 : 11,830.32 = 5,111.76 : x
  2. Step 2: Convert to fraction form
    7,890.96/11,830.32 = 5,111.76/x
  3. Step 3: Cross multiply
    7,890.96x = 11,830.32 × 5,111.76
  4. Step 4: Simplify right side
    7,890.96x = 60,473,756.56
  5. Step 5: Solve for x
    x = 60,473,756.56/7,890.96
  6. Step 6: Final answer
    x = 7,663.68

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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.