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Finding the Fourth Proportional to 11,643.40, 16,071.30 and 7,919.56

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Solution

The fourth proportional to 11,643.40, 16,071.30 and 7,919.56 is: 10,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.40 : 16,071.30 = 7,919.56 : x
  2. Step 2: Convert to fraction form
    11,643.40/16,071.30 = 7,919.56/x
  3. Step 3: Cross multiply
    11,643.40x = 16,071.30 × 7,919.56
  4. Step 4: Simplify right side
    11,643.40x = 127,277,624.63
  5. Step 5: Solve for x
    x = 127,277,624.63/11,643.40
  6. Step 6: Final answer
    x = 10,931.31

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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.