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Finding the Fourth Proportional to 10,429.56, 15,643.86 and 3,033.84

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Solution

The fourth proportional to 10,429.56, 15,643.86 and 3,033.84 is: 4,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.56 : 15,643.86 = 3,033.84 : x
  2. Step 2: Convert to fraction form
    10,429.56/15,643.86 = 3,033.84/x
  3. Step 3: Cross multiply
    10,429.56x = 15,643.86 × 3,033.84
  4. Step 4: Simplify right side
    10,429.56x = 47,460,968.22
  5. Step 5: Solve for x
    x = 47,460,968.22/10,429.56
  6. Step 6: Final answer
    x = 4,550.62

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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.