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Finding the Fourth Proportional to 11,973.86, 16,521.95 and 7,258.14

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Solution

The fourth proportional to 11,973.86, 16,521.95 and 7,258.14 is: 10,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.86 : 16,521.95 = 7,258.14 : x
  2. Step 2: Convert to fraction form
    11,973.86/16,521.95 = 7,258.14/x
  3. Step 3: Cross multiply
    11,973.86x = 16,521.95 × 7,258.14
  4. Step 4: Simplify right side
    11,973.86x = 119,918,589.88
  5. Step 5: Solve for x
    x = 119,918,589.88/11,973.86
  6. Step 6: Final answer
    x = 10,015.03

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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.