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Finding the Fourth Proportional to 7,007.16, 10,510.44 and 1,742.07

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Solution

The fourth proportional to 7,007.16, 10,510.44 and 1,742.07 is: 2,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.16 : 10,510.44 = 1,742.07 : x
  2. Step 2: Convert to fraction form
    7,007.16/10,510.44 = 1,742.07/x
  3. Step 3: Cross multiply
    7,007.16x = 10,510.44 × 1,742.07
  4. Step 4: Simplify right side
    7,007.16x = 18,309,922.21
  5. Step 5: Solve for x
    x = 18,309,922.21/7,007.16
  6. Step 6: Final answer
    x = 2,613.03

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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.