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Finding the Fourth Proportional to 7,140.33, 10,710.49 and 3,242

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Solution

The fourth proportional to 7,140.33, 10,710.49 and 3,242 is: 4,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.33 : 10,710.49 = 3,242 : x
  2. Step 2: Convert to fraction form
    7,140.33/10,710.49 = 3,242/x
  3. Step 3: Cross multiply
    7,140.33x = 10,710.49 × 3,242
  4. Step 4: Simplify right side
    7,140.33x = 34,723,408.58
  5. Step 5: Solve for x
    x = 34,723,408.58/7,140.33
  6. Step 6: Final answer
    x = 4,863.00

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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.