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Finding the Fourth Proportional to 10,630.56, 14,672.70 and 6,438

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Solution

The fourth proportional to 10,630.56, 14,672.70 and 6,438 is: 8,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.56 : 14,672.70 = 6,438 : x
  2. Step 2: Convert to fraction form
    10,630.56/14,672.70 = 6,438/x
  3. Step 3: Cross multiply
    10,630.56x = 14,672.70 × 6,438
  4. Step 4: Simplify right side
    10,630.56x = 94,462,842.60
  5. Step 5: Solve for x
    x = 94,462,842.60/10,630.56
  6. Step 6: Final answer
    x = 8,885.97

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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.