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Finding the Fourth Proportional to 7,427.41, 10,249.95 and 4,070

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Solution

The fourth proportional to 7,427.41, 10,249.95 and 4,070 is: 5,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.41 : 10,249.95 = 4,070 : x
  2. Step 2: Convert to fraction form
    7,427.41/10,249.95 = 4,070/x
  3. Step 3: Cross multiply
    7,427.41x = 10,249.95 × 4,070
  4. Step 4: Simplify right side
    7,427.41x = 41,717,296.50
  5. Step 5: Solve for x
    x = 41,717,296.50/7,427.41
  6. Step 6: Final answer
    x = 5,616.67

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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.