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Finding the Fourth Proportional to 7,057.44, 10,585.71 and 2,127.24

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Solution

The fourth proportional to 7,057.44, 10,585.71 and 2,127.24 is: 3,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.44 : 10,585.71 = 2,127.24 : x
  2. Step 2: Convert to fraction form
    7,057.44/10,585.71 = 2,127.24/x
  3. Step 3: Cross multiply
    7,057.44x = 10,585.71 × 2,127.24
  4. Step 4: Simplify right side
    7,057.44x = 22,518,345.74
  5. Step 5: Solve for x
    x = 22,518,345.74/7,057.44
  6. Step 6: Final answer
    x = 3,190.72

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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.