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Finding the Fourth Proportional to 10,230.83, 14,113.77 and 6,645.54

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Solution

The fourth proportional to 10,230.83, 14,113.77 and 6,645.54 is: 9,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.83 : 14,113.77 = 6,645.54 : x
  2. Step 2: Convert to fraction form
    10,230.83/14,113.77 = 6,645.54/x
  3. Step 3: Cross multiply
    10,230.83x = 14,113.77 × 6,645.54
  4. Step 4: Simplify right side
    10,230.83x = 93,793,623.09
  5. Step 5: Solve for x
    x = 93,793,623.09/10,230.83
  6. Step 6: Final answer
    x = 9,167.75

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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.