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Finding the Fourth Proportional to 10,483.96, 14,468.56 and 5,768.54

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Solution

The fourth proportional to 10,483.96, 14,468.56 and 5,768.54 is: 7,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.96 : 14,468.56 = 5,768.54 : x
  2. Step 2: Convert to fraction form
    10,483.96/14,468.56 = 5,768.54/x
  3. Step 3: Cross multiply
    10,483.96x = 14,468.56 × 5,768.54
  4. Step 4: Simplify right side
    10,483.96x = 83,462,467.10
  5. Step 5: Solve for x
    x = 83,462,467.10/10,483.96
  6. Step 6: Final answer
    x = 7,960.97

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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.