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Finding the Fourth Proportional to 7,651.79, 11,477.68 and 2,461.31

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Solution

The fourth proportional to 7,651.79, 11,477.68 and 2,461.31 is: 3,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.79 : 11,477.68 = 2,461.31 : x
  2. Step 2: Convert to fraction form
    7,651.79/11,477.68 = 2,461.31/x
  3. Step 3: Cross multiply
    7,651.79x = 11,477.68 × 2,461.31
  4. Step 4: Simplify right side
    7,651.79x = 28,250,071.17
  5. Step 5: Solve for x
    x = 28,250,071.17/7,651.79
  6. Step 6: Final answer
    x = 3,691.96

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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.