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Finding the Fourth Proportional to 11,634.12, 16,060.32 and 7,444.80

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Solution

The fourth proportional to 11,634.12, 16,060.32 and 7,444.80 is: 10,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.12 : 16,060.32 = 7,444.80 : x
  2. Step 2: Convert to fraction form
    11,634.12/16,060.32 = 7,444.80/x
  3. Step 3: Cross multiply
    11,634.12x = 16,060.32 × 7,444.80
  4. Step 4: Simplify right side
    11,634.12x = 119,565,870.34
  5. Step 5: Solve for x
    x = 119,565,870.34/11,634.12
  6. Step 6: Final answer
    x = 10,277.17

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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.