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Finding the Fourth Proportional to 8,670.96, 11,964.12 and 4,946.16

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Solution

The fourth proportional to 8,670.96, 11,964.12 and 4,946.16 is: 6,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.96 : 11,964.12 = 4,946.16 : x
  2. Step 2: Convert to fraction form
    8,670.96/11,964.12 = 4,946.16/x
  3. Step 3: Cross multiply
    8,670.96x = 11,964.12 × 4,946.16
  4. Step 4: Simplify right side
    8,670.96x = 59,176,451.78
  5. Step 5: Solve for x
    x = 59,176,451.78/8,670.96
  6. Step 6: Final answer
    x = 6,824.67

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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.