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Finding the Fourth Proportional to 10,428.69, 15,643.08 and 3,033.18

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Solution

The fourth proportional to 10,428.69, 15,643.08 and 3,033.18 is: 4,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.69 : 15,643.08 = 3,033.18 : x
  2. Step 2: Convert to fraction form
    10,428.69/15,643.08 = 3,033.18/x
  3. Step 3: Cross multiply
    10,428.69x = 15,643.08 × 3,033.18
  4. Step 4: Simplify right side
    10,428.69x = 47,448,277.39
  5. Step 5: Solve for x
    x = 47,448,277.39/10,428.69
  6. Step 6: Final answer
    x = 4,549.78

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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.