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Finding the Fourth Proportional to 11,407.40, 15,739.52 and 6,930.88

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Solution

The fourth proportional to 11,407.40, 15,739.52 and 6,930.88 is: 9,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.40 : 15,739.52 = 6,930.88 : x
  2. Step 2: Convert to fraction form
    11,407.40/15,739.52 = 6,930.88/x
  3. Step 3: Cross multiply
    11,407.40x = 15,739.52 × 6,930.88
  4. Step 4: Simplify right side
    11,407.40x = 109,088,611.03
  5. Step 5: Solve for x
    x = 109,088,611.03/11,407.40
  6. Step 6: Final answer
    x = 9,562.97

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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.