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Finding the Fourth Proportional to 11,367.47, 15,679.61 and 7,111.16

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Solution

The fourth proportional to 11,367.47, 15,679.61 and 7,111.16 is: 9,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.47 : 15,679.61 = 7,111.16 : x
  2. Step 2: Convert to fraction form
    11,367.47/15,679.61 = 7,111.16/x
  3. Step 3: Cross multiply
    11,367.47x = 15,679.61 × 7,111.16
  4. Step 4: Simplify right side
    11,367.47x = 111,500,186.96
  5. Step 5: Solve for x
    x = 111,500,186.96/11,367.47
  6. Step 6: Final answer
    x = 9,808.71

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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.