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Finding the Fourth Proportional to 10,209.76, 15,314.64 and 3,285.28

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Solution

The fourth proportional to 10,209.76, 15,314.64 and 3,285.28 is: 4,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.76 : 15,314.64 = 3,285.28 : x
  2. Step 2: Convert to fraction form
    10,209.76/15,314.64 = 3,285.28/x
  3. Step 3: Cross multiply
    10,209.76x = 15,314.64 × 3,285.28
  4. Step 4: Simplify right side
    10,209.76x = 50,312,880.50
  5. Step 5: Solve for x
    x = 50,312,880.50/10,209.76
  6. Step 6: Final answer
    x = 4,927.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.