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Finding the Fourth Proportional to 7,739.32, 11,597.63 and 4,808.74

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Solution

The fourth proportional to 7,739.32, 11,597.63 and 4,808.74 is: 7,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.32 : 11,597.63 = 4,808.74 : x
  2. Step 2: Convert to fraction form
    7,739.32/11,597.63 = 4,808.74/x
  3. Step 3: Cross multiply
    7,739.32x = 11,597.63 × 4,808.74
  4. Step 4: Simplify right side
    7,739.32x = 55,769,987.29
  5. Step 5: Solve for x
    x = 55,769,987.29/7,739.32
  6. Step 6: Final answer
    x = 7,206.06

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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.