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Finding the Fourth Proportional to 10,206.39, 15,303.92 and 3,962.51

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Solution

The fourth proportional to 10,206.39, 15,303.92 and 3,962.51 is: 5,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.39 : 15,303.92 = 3,962.51 : x
  2. Step 2: Convert to fraction form
    10,206.39/15,303.92 = 3,962.51/x
  3. Step 3: Cross multiply
    10,206.39x = 15,303.92 × 3,962.51
  4. Step 4: Simplify right side
    10,206.39x = 60,641,936.04
  5. Step 5: Solve for x
    x = 60,641,936.04/10,206.39
  6. Step 6: Final answer
    x = 5,941.57

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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.