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Finding the Fourth Proportional to 11,594.71, 15,992.49 and 7,120.93

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Solution

The fourth proportional to 11,594.71, 15,992.49 and 7,120.93 is: 9,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.71 : 15,992.49 = 7,120.93 : x
  2. Step 2: Convert to fraction form
    11,594.71/15,992.49 = 7,120.93/x
  3. Step 3: Cross multiply
    11,594.71x = 15,992.49 × 7,120.93
  4. Step 4: Simplify right side
    11,594.71x = 113,881,286.25
  5. Step 5: Solve for x
    x = 113,881,286.25/11,594.71
  6. Step 6: Final answer
    x = 9,821.84

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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.