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Finding the Fourth Proportional to 11,976.83, 16,527.80 and 7,503.05

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Solution

The fourth proportional to 11,976.83, 16,527.80 and 7,503.05 is: 10,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.83 : 16,527.80 = 7,503.05 : x
  2. Step 2: Convert to fraction form
    11,976.83/16,527.80 = 7,503.05/x
  3. Step 3: Cross multiply
    11,976.83x = 16,527.80 × 7,503.05
  4. Step 4: Simplify right side
    11,976.83x = 124,008,909.79
  5. Step 5: Solve for x
    x = 124,008,909.79/11,976.83
  6. Step 6: Final answer
    x = 10,354.07

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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.