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Finding the Fourth Proportional to 10,383.72, 14,329.52 and 7,404.74

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Solution

The fourth proportional to 10,383.72, 14,329.52 and 7,404.74 is: 10,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.72 : 14,329.52 = 7,404.74 : x
  2. Step 2: Convert to fraction form
    10,383.72/14,329.52 = 7,404.74/x
  3. Step 3: Cross multiply
    10,383.72x = 14,329.52 × 7,404.74
  4. Step 4: Simplify right side
    10,383.72x = 106,106,369.92
  5. Step 5: Solve for x
    x = 106,106,369.92/10,383.72
  6. Step 6: Final answer
    x = 10,218.53

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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.