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Finding the Fourth Proportional to 10,630.96, 14,669 and 5,915.12

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Solution

The fourth proportional to 10,630.96, 14,669 and 5,915.12 is: 8,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.96 : 14,669 = 5,915.12 : x
  2. Step 2: Convert to fraction form
    10,630.96/14,669 = 5,915.12/x
  3. Step 3: Cross multiply
    10,630.96x = 14,669 × 5,915.12
  4. Step 4: Simplify right side
    10,630.96x = 86,768,895.28
  5. Step 5: Solve for x
    x = 86,768,895.28/10,630.96
  6. Step 6: Final answer
    x = 8,161.91

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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.