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Finding the Fourth Proportional to 7,140.18, 10,716.41 and 4,023.24

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Solution

The fourth proportional to 7,140.18, 10,716.41 and 4,023.24 is: 6,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.18 : 10,716.41 = 4,023.24 : x
  2. Step 2: Convert to fraction form
    7,140.18/10,716.41 = 4,023.24/x
  3. Step 3: Cross multiply
    7,140.18x = 10,716.41 × 4,023.24
  4. Step 4: Simplify right side
    7,140.18x = 43,114,755.32
  5. Step 5: Solve for x
    x = 43,114,755.32/7,140.18
  6. Step 6: Final answer
    x = 6,038.33

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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.