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Finding the Fourth Proportional to 7,730.98, 11,597.32 and 2,464.76

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Solution

The fourth proportional to 7,730.98, 11,597.32 and 2,464.76 is: 3,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.98 : 11,597.32 = 2,464.76 : x
  2. Step 2: Convert to fraction form
    7,730.98/11,597.32 = 2,464.76/x
  3. Step 3: Cross multiply
    7,730.98x = 11,597.32 × 2,464.76
  4. Step 4: Simplify right side
    7,730.98x = 28,584,633.27
  5. Step 5: Solve for x
    x = 28,584,633.27/7,730.98
  6. Step 6: Final answer
    x = 3,697.42

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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.