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Finding the Fourth Proportional to 7,057.16, 10,585.74 and 2,128.21

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Solution

The fourth proportional to 7,057.16, 10,585.74 and 2,128.21 is: 3,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.16 : 10,585.74 = 2,128.21 : x
  2. Step 2: Convert to fraction form
    7,057.16/10,585.74 = 2,128.21/x
  3. Step 3: Cross multiply
    7,057.16x = 10,585.74 × 2,128.21
  4. Step 4: Simplify right side
    7,057.16x = 22,528,659.24
  5. Step 5: Solve for x
    x = 22,528,659.24/7,057.16
  6. Step 6: Final answer
    x = 3,192.31

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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.