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Finding the Fourth Proportional to 7,284.81, 10,053.01 and 4,141.00

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Solution

The fourth proportional to 7,284.81, 10,053.01 and 4,141.00 is: 5,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.81 : 10,053.01 = 4,141.00 : x
  2. Step 2: Convert to fraction form
    7,284.81/10,053.01 = 4,141.00/x
  3. Step 3: Cross multiply
    7,284.81x = 10,053.01 × 4,141.00
  4. Step 4: Simplify right side
    7,284.81x = 41,629,532.15
  5. Step 5: Solve for x
    x = 41,629,532.15/7,284.81
  6. Step 6: Final answer
    x = 5,714.56

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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.