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Finding the Fourth Proportional to 7,012.47, 10,461.24 and 6,821.79

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Solution

The fourth proportional to 7,012.47, 10,461.24 and 6,821.79 is: 10,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.47 : 10,461.24 = 6,821.79 : x
  2. Step 2: Convert to fraction form
    7,012.47/10,461.24 = 6,821.79/x
  3. Step 3: Cross multiply
    7,012.47x = 10,461.24 × 6,821.79
  4. Step 4: Simplify right side
    7,012.47x = 71,364,382.42
  5. Step 5: Solve for x
    x = 71,364,382.42/7,012.47
  6. Step 6: Final answer
    x = 10,176.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.