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Finding the Fourth Proportional to 7,146.81, 10,712.03 and 2,986.07

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Solution

The fourth proportional to 7,146.81, 10,712.03 and 2,986.07 is: 4,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.81 : 10,712.03 = 2,986.07 : x
  2. Step 2: Convert to fraction form
    7,146.81/10,712.03 = 2,986.07/x
  3. Step 3: Cross multiply
    7,146.81x = 10,712.03 × 2,986.07
  4. Step 4: Simplify right side
    7,146.81x = 31,986,802.93
  5. Step 5: Solve for x
    x = 31,986,802.93/7,146.81
  6. Step 6: Final answer
    x = 4,475.68

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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.