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Finding the Fourth Proportional to 10,389.03, 14,336.64 and 5,673.33

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Solution

The fourth proportional to 10,389.03, 14,336.64 and 5,673.33 is: 7,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.03 : 14,336.64 = 5,673.33 : x
  2. Step 2: Convert to fraction form
    10,389.03/14,336.64 = 5,673.33/x
  3. Step 3: Cross multiply
    10,389.03x = 14,336.64 × 5,673.33
  4. Step 4: Simplify right side
    10,389.03x = 81,336,489.81
  5. Step 5: Solve for x
    x = 81,336,489.81/10,389.03
  6. Step 6: Final answer
    x = 7,829.07

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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.