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Finding the Fourth Proportional to 7,463.92, 11,195.64 and 3,078.08

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Solution

The fourth proportional to 7,463.92, 11,195.64 and 3,078.08 is: 4,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.92 : 11,195.64 = 3,078.08 : x
  2. Step 2: Convert to fraction form
    7,463.92/11,195.64 = 3,078.08/x
  3. Step 3: Cross multiply
    7,463.92x = 11,195.64 × 3,078.08
  4. Step 4: Simplify right side
    7,463.92x = 34,461,075.57
  5. Step 5: Solve for x
    x = 34,461,075.57/7,463.92
  6. Step 6: Final answer
    x = 4,617.02

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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.