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Finding the Fourth Proportional to 10,701, 14,771.34 and 8,056.08

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Solution

The fourth proportional to 10,701, 14,771.34 and 8,056.08 is: 11,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701 : 14,771.34 = 8,056.08 : x
  2. Step 2: Convert to fraction form
    10,701/14,771.34 = 8,056.08/x
  3. Step 3: Cross multiply
    10,701x = 14,771.34 × 8,056.08
  4. Step 4: Simplify right side
    10,701x = 118,999,096.75
  5. Step 5: Solve for x
    x = 118,999,096.75/10,701
  6. Step 6: Final answer
    x = 11,120.37

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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.