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Finding the Fourth Proportional to 10,217.80, 15,323.10 and 4,673.80

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Solution

The fourth proportional to 10,217.80, 15,323.10 and 4,673.80 is: 7,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.80 : 15,323.10 = 4,673.80 : x
  2. Step 2: Convert to fraction form
    10,217.80/15,323.10 = 4,673.80/x
  3. Step 3: Cross multiply
    10,217.80x = 15,323.10 × 4,673.80
  4. Step 4: Simplify right side
    10,217.80x = 71,617,104.78
  5. Step 5: Solve for x
    x = 71,617,104.78/10,217.80
  6. Step 6: Final answer
    x = 7,009.05

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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.