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Finding the Fourth Proportional to 7,034.84, 10,549.69 and 3,083.38

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Solution

The fourth proportional to 7,034.84, 10,549.69 and 3,083.38 is: 4,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.84 : 10,549.69 = 3,083.38 : x
  2. Step 2: Convert to fraction form
    7,034.84/10,549.69 = 3,083.38/x
  3. Step 3: Cross multiply
    7,034.84x = 10,549.69 × 3,083.38
  4. Step 4: Simplify right side
    7,034.84x = 32,528,703.15
  5. Step 5: Solve for x
    x = 32,528,703.15/7,034.84
  6. Step 6: Final answer
    x = 4,623.94

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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.