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Finding the Fourth Proportional to 7,059, 10,623.97 and 5,313.05

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Solution

The fourth proportional to 7,059, 10,623.97 and 5,313.05 is: 7,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059 : 10,623.97 = 5,313.05 : x
  2. Step 2: Convert to fraction form
    7,059/10,623.97 = 5,313.05/x
  3. Step 3: Cross multiply
    7,059x = 10,623.97 × 5,313.05
  4. Step 4: Simplify right side
    7,059x = 56,445,683.81
  5. Step 5: Solve for x
    x = 56,445,683.81/7,059
  6. Step 6: Final answer
    x = 7,996.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.