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Finding the Fourth Proportional to 10,429.80, 15,647.02 and 3,034.84

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Solution

The fourth proportional to 10,429.80, 15,647.02 and 3,034.84 is: 4,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.80 : 15,647.02 = 3,034.84 : x
  2. Step 2: Convert to fraction form
    10,429.80/15,647.02 = 3,034.84/x
  3. Step 3: Cross multiply
    10,429.80x = 15,647.02 × 3,034.84
  4. Step 4: Simplify right side
    10,429.80x = 47,486,202.18
  5. Step 5: Solve for x
    x = 47,486,202.18/10,429.80
  6. Step 6: Final answer
    x = 4,552.94

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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.