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Finding the Fourth Proportional to 10,630.47, 14,680.94 and 7,973.67

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Solution

The fourth proportional to 10,630.47, 14,680.94 and 7,973.67 is: 11,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.47 : 14,680.94 = 7,973.67 : x
  2. Step 2: Convert to fraction form
    10,630.47/14,680.94 = 7,973.67/x
  3. Step 3: Cross multiply
    10,630.47x = 14,680.94 × 7,973.67
  4. Step 4: Simplify right side
    10,630.47x = 117,060,930.98
  5. Step 5: Solve for x
    x = 117,060,930.98/10,630.47
  6. Step 6: Final answer
    x = 11,011.83

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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.