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Finding the Fourth Proportional to 7,293.35, 10,930.80 and 4,659.84

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Solution

The fourth proportional to 7,293.35, 10,930.80 and 4,659.84 is: 6,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.35 : 10,930.80 = 4,659.84 : x
  2. Step 2: Convert to fraction form
    7,293.35/10,930.80 = 4,659.84/x
  3. Step 3: Cross multiply
    7,293.35x = 10,930.80 × 4,659.84
  4. Step 4: Simplify right side
    7,293.35x = 50,935,779.07
  5. Step 5: Solve for x
    x = 50,935,779.07/7,293.35
  6. Step 6: Final answer
    x = 6,983.87

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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.