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Finding the Fourth Proportional to 7,340.98, 11,007.81 and 2,410.06

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Solution

The fourth proportional to 7,340.98, 11,007.81 and 2,410.06 is: 3,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.98 : 11,007.81 = 2,410.06 : x
  2. Step 2: Convert to fraction form
    7,340.98/11,007.81 = 2,410.06/x
  3. Step 3: Cross multiply
    7,340.98x = 11,007.81 × 2,410.06
  4. Step 4: Simplify right side
    7,340.98x = 26,529,482.57
  5. Step 5: Solve for x
    x = 26,529,482.57/7,340.98
  6. Step 6: Final answer
    x = 3,613.89

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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.