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Finding the Fourth Proportional to 10,534.60, 15,786.80 and 7,739.32

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Solution

The fourth proportional to 10,534.60, 15,786.80 and 7,739.32 is: 11,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.60 : 15,786.80 = 7,739.32 : x
  2. Step 2: Convert to fraction form
    10,534.60/15,786.80 = 7,739.32/x
  3. Step 3: Cross multiply
    10,534.60x = 15,786.80 × 7,739.32
  4. Step 4: Simplify right side
    10,534.60x = 122,179,096.98
  5. Step 5: Solve for x
    x = 122,179,096.98/10,534.60
  6. Step 6: Final answer
    x = 11,597.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.