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Finding the Fourth Proportional to 10,873.98, 14,997.78 and 9,364.16

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Solution

The fourth proportional to 10,873.98, 14,997.78 and 9,364.16 is: 12,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.98 : 14,997.78 = 9,364.16 : x
  2. Step 2: Convert to fraction form
    10,873.98/14,997.78 = 9,364.16/x
  3. Step 3: Cross multiply
    10,873.98x = 14,997.78 × 9,364.16
  4. Step 4: Simplify right side
    10,873.98x = 140,441,536.58
  5. Step 5: Solve for x
    x = 140,441,536.58/10,873.98
  6. Step 6: Final answer
    x = 12,915.38

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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.