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Finding the Fourth Proportional to 7,633.56, 10,537.50 and 6,460.68

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Solution

The fourth proportional to 7,633.56, 10,537.50 and 6,460.68 is: 8,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.56 : 10,537.50 = 6,460.68 : x
  2. Step 2: Convert to fraction form
    7,633.56/10,537.50 = 6,460.68/x
  3. Step 3: Cross multiply
    7,633.56x = 10,537.50 × 6,460.68
  4. Step 4: Simplify right side
    7,633.56x = 68,079,415.50
  5. Step 5: Solve for x
    x = 68,079,415.50/7,633.56
  6. Step 6: Final answer
    x = 8,918.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.