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Finding the Fourth Proportional to 10,630.43, 14,669.34 and 5,849.40

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Solution

The fourth proportional to 10,630.43, 14,669.34 and 5,849.40 is: 8,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.43 : 14,669.34 = 5,849.40 : x
  2. Step 2: Convert to fraction form
    10,630.43/14,669.34 = 5,849.40/x
  3. Step 3: Cross multiply
    10,630.43x = 14,669.34 × 5,849.40
  4. Step 4: Simplify right side
    10,630.43x = 85,806,870.47
  5. Step 5: Solve for x
    x = 85,806,870.47/10,630.43
  6. Step 6: Final answer
    x = 8,071.82

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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.