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Finding the Fourth Proportional to 10,472.63, 14,452.04 and 5,756.81

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Solution

The fourth proportional to 10,472.63, 14,452.04 and 5,756.81 is: 7,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.63 : 14,452.04 = 5,756.81 : x
  2. Step 2: Convert to fraction form
    10,472.63/14,452.04 = 5,756.81/x
  3. Step 3: Cross multiply
    10,472.63x = 14,452.04 × 5,756.81
  4. Step 4: Simplify right side
    10,472.63x = 83,197,648.39
  5. Step 5: Solve for x
    x = 83,197,648.39/10,472.63
  6. Step 6: Final answer
    x = 7,944.29

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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.