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Finding the Fourth Proportional to 7,642.49, 11,460.10 and 2,964.68

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Solution

The fourth proportional to 7,642.49, 11,460.10 and 2,964.68 is: 4,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.49 : 11,460.10 = 2,964.68 : x
  2. Step 2: Convert to fraction form
    7,642.49/11,460.10 = 2,964.68/x
  3. Step 3: Cross multiply
    7,642.49x = 11,460.10 × 2,964.68
  4. Step 4: Simplify right side
    7,642.49x = 33,975,529.27
  5. Step 5: Solve for x
    x = 33,975,529.27/7,642.49
  6. Step 6: Final answer
    x = 4,445.61

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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.