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Finding the Fourth Proportional to 7,099.56, 10,572 and 7,021.92

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Solution

The fourth proportional to 7,099.56, 10,572 and 7,021.92 is: 10,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.56 : 10,572 = 7,021.92 : x
  2. Step 2: Convert to fraction form
    7,099.56/10,572 = 7,021.92/x
  3. Step 3: Cross multiply
    7,099.56x = 10,572 × 7,021.92
  4. Step 4: Simplify right side
    7,099.56x = 74,235,738.24
  5. Step 5: Solve for x
    x = 74,235,738.24/7,099.56
  6. Step 6: Final answer
    x = 10,456.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.