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Finding the Fourth Proportional to 7,926.10, 11,890.77 and 3,544

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Solution

The fourth proportional to 7,926.10, 11,890.77 and 3,544 is: 5,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.10 : 11,890.77 = 3,544 : x
  2. Step 2: Convert to fraction form
    7,926.10/11,890.77 = 3,544/x
  3. Step 3: Cross multiply
    7,926.10x = 11,890.77 × 3,544
  4. Step 4: Simplify right side
    7,926.10x = 42,140,888.88
  5. Step 5: Solve for x
    x = 42,140,888.88/7,926.10
  6. Step 6: Final answer
    x = 5,316.72

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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.