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Finding the Fourth Proportional to 10,383.12, 14,324.04 and 6,404.40

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Solution

The fourth proportional to 10,383.12, 14,324.04 and 6,404.40 is: 8,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.12 : 14,324.04 = 6,404.40 : x
  2. Step 2: Convert to fraction form
    10,383.12/14,324.04 = 6,404.40/x
  3. Step 3: Cross multiply
    10,383.12x = 14,324.04 × 6,404.40
  4. Step 4: Simplify right side
    10,383.12x = 91,736,881.78
  5. Step 5: Solve for x
    x = 91,736,881.78/10,383.12
  6. Step 6: Final answer
    x = 8,835.19

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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.