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Finding the Fourth Proportional to 10,630.02, 14,669.47 and 5,849.84

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Solution

The fourth proportional to 10,630.02, 14,669.47 and 5,849.84 is: 8,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.02 : 14,669.47 = 5,849.84 : x
  2. Step 2: Convert to fraction form
    10,630.02/14,669.47 = 5,849.84/x
  3. Step 3: Cross multiply
    10,630.02x = 14,669.47 × 5,849.84
  4. Step 4: Simplify right side
    10,630.02x = 85,814,052.38
  5. Step 5: Solve for x
    x = 85,814,052.38/10,630.02
  6. Step 6: Final answer
    x = 8,072.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.