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Finding the Fourth Proportional to 7,644.30, 11,461.71 and 5,008.56

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Solution

The fourth proportional to 7,644.30, 11,461.71 and 5,008.56 is: 7,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.30 : 11,461.71 = 5,008.56 : x
  2. Step 2: Convert to fraction form
    7,644.30/11,461.71 = 5,008.56/x
  3. Step 3: Cross multiply
    7,644.30x = 11,461.71 × 5,008.56
  4. Step 4: Simplify right side
    7,644.30x = 57,406,662.24
  5. Step 5: Solve for x
    x = 57,406,662.24/7,644.30
  6. Step 6: Final answer
    x = 7,509.73

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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.