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Finding the Fourth Proportional to 8,032.09, 12,048.09 and 5,358.02

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Solution

The fourth proportional to 8,032.09, 12,048.09 and 5,358.02 is: 8,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.09 : 12,048.09 = 5,358.02 : x
  2. Step 2: Convert to fraction form
    8,032.09/12,048.09 = 5,358.02/x
  3. Step 3: Cross multiply
    8,032.09x = 12,048.09 × 5,358.02
  4. Step 4: Simplify right side
    8,032.09x = 64,553,958.64
  5. Step 5: Solve for x
    x = 64,553,958.64/8,032.09
  6. Step 6: Final answer
    x = 8,037.01

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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.