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Finding the Fourth Proportional to 11,645.91, 16,056.63 and 9,519.12

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Solution

The fourth proportional to 11,645.91, 16,056.63 and 9,519.12 is: 13,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.91 : 16,056.63 = 9,519.12 : x
  2. Step 2: Convert to fraction form
    11,645.91/16,056.63 = 9,519.12/x
  3. Step 3: Cross multiply
    11,645.91x = 16,056.63 × 9,519.12
  4. Step 4: Simplify right side
    11,645.91x = 152,844,987.77
  5. Step 5: Solve for x
    x = 152,844,987.77/11,645.91
  6. Step 6: Final answer
    x = 13,124.35

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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.