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Finding the Fourth Proportional to 10,552.24, 14,556 and 6,826.24

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Solution

The fourth proportional to 10,552.24, 14,556 and 6,826.24 is: 9,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.24 : 14,556 = 6,826.24 : x
  2. Step 2: Convert to fraction form
    10,552.24/14,556 = 6,826.24/x
  3. Step 3: Cross multiply
    10,552.24x = 14,556 × 6,826.24
  4. Step 4: Simplify right side
    10,552.24x = 99,362,749.44
  5. Step 5: Solve for x
    x = 99,362,749.44/10,552.24
  6. Step 6: Final answer
    x = 9,416.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.