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Finding the Fourth Proportional to 10,581.53, 14,596.07 and 6,996.51

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Solution

The fourth proportional to 10,581.53, 14,596.07 and 6,996.51 is: 9,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.53 : 14,596.07 = 6,996.51 : x
  2. Step 2: Convert to fraction form
    10,581.53/14,596.07 = 6,996.51/x
  3. Step 3: Cross multiply
    10,581.53x = 14,596.07 × 6,996.51
  4. Step 4: Simplify right side
    10,581.53x = 102,121,514.73
  5. Step 5: Solve for x
    x = 102,121,514.73/10,581.53
  6. Step 6: Final answer
    x = 9,650.93

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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.