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Finding the Fourth Proportional to 10,500.33, 15,753.00 and 3,004.00

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Solution

The fourth proportional to 10,500.33, 15,753.00 and 3,004.00 is: 4,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.33 : 15,753.00 = 3,004.00 : x
  2. Step 2: Convert to fraction form
    10,500.33/15,753.00 = 3,004.00/x
  3. Step 3: Cross multiply
    10,500.33x = 15,753.00 × 3,004.00
  4. Step 4: Simplify right side
    10,500.33x = 47,322,055.60
  5. Step 5: Solve for x
    x = 47,322,055.60/10,500.33
  6. Step 6: Final answer
    x = 4,506.72

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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.