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Finding the Fourth Proportional to 7,146.90, 10,732.14 and 4,821.84

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Solution

The fourth proportional to 7,146.90, 10,732.14 and 4,821.84 is: 7,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.90 : 10,732.14 = 4,821.84 : x
  2. Step 2: Convert to fraction form
    7,146.90/10,732.14 = 4,821.84/x
  3. Step 3: Cross multiply
    7,146.90x = 10,732.14 × 4,821.84
  4. Step 4: Simplify right side
    7,146.90x = 51,748,661.94
  5. Step 5: Solve for x
    x = 51,748,661.94/7,146.90
  6. Step 6: Final answer
    x = 7,240.71

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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.