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Finding the Fourth Proportional to 8,740.40, 13,116 and 3,546.32

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Solution

The fourth proportional to 8,740.40, 13,116 and 3,546.32 is: 5,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.40 : 13,116 = 3,546.32 : x
  2. Step 2: Convert to fraction form
    8,740.40/13,116 = 3,546.32/x
  3. Step 3: Cross multiply
    8,740.40x = 13,116 × 3,546.32
  4. Step 4: Simplify right side
    8,740.40x = 46,513,533.12
  5. Step 5: Solve for x
    x = 46,513,533.12/8,740.40
  6. Step 6: Final answer
    x = 5,321.67

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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.