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Finding the Fourth Proportional to 7,412.99, 10,233.67 and 5,730.60

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Solution

The fourth proportional to 7,412.99, 10,233.67 and 5,730.60 is: 7,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.99 : 10,233.67 = 5,730.60 : x
  2. Step 2: Convert to fraction form
    7,412.99/10,233.67 = 5,730.60/x
  3. Step 3: Cross multiply
    7,412.99x = 10,233.67 × 5,730.60
  4. Step 4: Simplify right side
    7,412.99x = 58,645,054.98
  5. Step 5: Solve for x
    x = 58,645,054.98/7,412.99
  6. Step 6: Final answer
    x = 7,911.12

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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.