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Finding the Fourth Proportional to 7,146.51, 10,721.48 and 2,984.21

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Solution

The fourth proportional to 7,146.51, 10,721.48 and 2,984.21 is: 4,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.51 : 10,721.48 = 2,984.21 : x
  2. Step 2: Convert to fraction form
    7,146.51/10,721.48 = 2,984.21/x
  3. Step 3: Cross multiply
    7,146.51x = 10,721.48 × 2,984.21
  4. Step 4: Simplify right side
    7,146.51x = 31,995,079.30
  5. Step 5: Solve for x
    x = 31,995,079.30/7,146.51
  6. Step 6: Final answer
    x = 4,477.02

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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.