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Finding the Fourth Proportional to 6,501.32, 8,971.82 and 3,517.16

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Solution

The fourth proportional to 6,501.32, 8,971.82 and 3,517.16 is: 4,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.32 : 8,971.82 = 3,517.16 : x
  2. Step 2: Convert to fraction form
    6,501.32/8,971.82 = 3,517.16/x
  3. Step 3: Cross multiply
    6,501.32x = 8,971.82 × 3,517.16
  4. Step 4: Simplify right side
    6,501.32x = 31,555,277.18
  5. Step 5: Solve for x
    x = 31,555,277.18/6,501.32
  6. Step 6: Final answer
    x = 4,853.67

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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.