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Finding the Fourth Proportional to 7,572.36, 11,356.80 and 3,410.04

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Solution

The fourth proportional to 7,572.36, 11,356.80 and 3,410.04 is: 5,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.36 : 11,356.80 = 3,410.04 : x
  2. Step 2: Convert to fraction form
    7,572.36/11,356.80 = 3,410.04/x
  3. Step 3: Cross multiply
    7,572.36x = 11,356.80 × 3,410.04
  4. Step 4: Simplify right side
    7,572.36x = 38,727,142.27
  5. Step 5: Solve for x
    x = 38,727,142.27/7,572.36
  6. Step 6: Final answer
    x = 5,114.28

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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.