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Finding the Fourth Proportional to 11,582.70, 15,983.93 and 6,546.83

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Solution

The fourth proportional to 11,582.70, 15,983.93 and 6,546.83 is: 9,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.70 : 15,983.93 = 6,546.83 : x
  2. Step 2: Convert to fraction form
    11,582.70/15,983.93 = 6,546.83/x
  3. Step 3: Cross multiply
    11,582.70x = 15,983.93 × 6,546.83
  4. Step 4: Simplify right side
    11,582.70x = 104,644,008.89
  5. Step 5: Solve for x
    x = 104,644,008.89/11,582.70
  6. Step 6: Final answer
    x = 9,034.51

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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.