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Finding the Fourth Proportional to 11,617.54, 16,032.23 and 6,582.69

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Solution

The fourth proportional to 11,617.54, 16,032.23 and 6,582.69 is: 9,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.54 : 16,032.23 = 6,582.69 : x
  2. Step 2: Convert to fraction form
    11,617.54/16,032.23 = 6,582.69/x
  3. Step 3: Cross multiply
    11,617.54x = 16,032.23 × 6,582.69
  4. Step 4: Simplify right side
    11,617.54x = 105,535,216.56
  5. Step 5: Solve for x
    x = 105,535,216.56/11,617.54
  6. Step 6: Final answer
    x = 9,084.13

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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.