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Finding the Fourth Proportional to 7,861.94, 10,851.02 and 4,507.01

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Solution

The fourth proportional to 7,861.94, 10,851.02 and 4,507.01 is: 6,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.94 : 10,851.02 = 4,507.01 : x
  2. Step 2: Convert to fraction form
    7,861.94/10,851.02 = 4,507.01/x
  3. Step 3: Cross multiply
    7,861.94x = 10,851.02 × 4,507.01
  4. Step 4: Simplify right side
    7,861.94x = 48,905,636.45
  5. Step 5: Solve for x
    x = 48,905,636.45/7,861.94
  6. Step 6: Final answer
    x = 6,220.56

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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.