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Finding the Fourth Proportional to 11,763.67, 16,234.15 and 6,458.58

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Solution

The fourth proportional to 11,763.67, 16,234.15 and 6,458.58 is: 8,913.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.67 : 16,234.15 = 6,458.58 : x
  2. Step 2: Convert to fraction form
    11,763.67/16,234.15 = 6,458.58/x
  3. Step 3: Cross multiply
    11,763.67x = 16,234.15 × 6,458.58
  4. Step 4: Simplify right side
    11,763.67x = 104,849,556.51
  5. Step 5: Solve for x
    x = 104,849,556.51/11,763.67
  6. Step 6: Final answer
    x = 8,913.00

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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.