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Finding the Fourth Proportional to 11,458.29, 15,811.03 and 6,980.42

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Solution

The fourth proportional to 11,458.29, 15,811.03 and 6,980.42 is: 9,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.29 : 15,811.03 = 6,980.42 : x
  2. Step 2: Convert to fraction form
    11,458.29/15,811.03 = 6,980.42/x
  3. Step 3: Cross multiply
    11,458.29x = 15,811.03 × 6,980.42
  4. Step 4: Simplify right side
    11,458.29x = 110,367,630.03
  5. Step 5: Solve for x
    x = 110,367,630.03/11,458.29
  6. Step 6: Final answer
    x = 9,632.12

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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.