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Finding the Fourth Proportional to 7,046.53, 10,568.96 and 1,852.81

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Solution

The fourth proportional to 7,046.53, 10,568.96 and 1,852.81 is: 2,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.53 : 10,568.96 = 1,852.81 : x
  2. Step 2: Convert to fraction form
    7,046.53/10,568.96 = 1,852.81/x
  3. Step 3: Cross multiply
    7,046.53x = 10,568.96 × 1,852.81
  4. Step 4: Simplify right side
    7,046.53x = 19,582,265.51
  5. Step 5: Solve for x
    x = 19,582,265.51/7,046.53
  6. Step 6: Final answer
    x = 2,778.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.