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Finding the Fourth Proportional to 7,742.59, 11,598.96 and 4,625.09

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Solution

The fourth proportional to 7,742.59, 11,598.96 and 4,625.09 is: 6,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.59 : 11,598.96 = 4,625.09 : x
  2. Step 2: Convert to fraction form
    7,742.59/11,598.96 = 4,625.09/x
  3. Step 3: Cross multiply
    7,742.59x = 11,598.96 × 4,625.09
  4. Step 4: Simplify right side
    7,742.59x = 53,646,200.93
  5. Step 5: Solve for x
    x = 53,646,200.93/7,742.59
  6. Step 6: Final answer
    x = 6,928.72

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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.