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Finding the Fourth Proportional to 7,653.12, 11,478.10 and 3,491.96

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Solution

The fourth proportional to 7,653.12, 11,478.10 and 3,491.96 is: 5,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.12 : 11,478.10 = 3,491.96 : x
  2. Step 2: Convert to fraction form
    7,653.12/11,478.10 = 3,491.96/x
  3. Step 3: Cross multiply
    7,653.12x = 11,478.10 × 3,491.96
  4. Step 4: Simplify right side
    7,653.12x = 40,081,066.08
  5. Step 5: Solve for x
    x = 40,081,066.08/7,653.12
  6. Step 6: Final answer
    x = 5,237.22

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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.