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Finding the Fourth Proportional to 7,284.51, 10,052.53 and 4,140.49

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Solution

The fourth proportional to 7,284.51, 10,052.53 and 4,140.49 is: 5,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.51 : 10,052.53 = 4,140.49 : x
  2. Step 2: Convert to fraction form
    7,284.51/10,052.53 = 4,140.49/x
  3. Step 3: Cross multiply
    7,284.51x = 10,052.53 × 4,140.49
  4. Step 4: Simplify right side
    7,284.51x = 41,622,399.94
  5. Step 5: Solve for x
    x = 41,622,399.94/7,284.51
  6. Step 6: Final answer
    x = 5,713.82

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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.