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Finding the Fourth Proportional to 8,431.03, 12,646.65 and 4,047.52

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Solution

The fourth proportional to 8,431.03, 12,646.65 and 4,047.52 is: 6,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.03 : 12,646.65 = 4,047.52 : x
  2. Step 2: Convert to fraction form
    8,431.03/12,646.65 = 4,047.52/x
  3. Step 3: Cross multiply
    8,431.03x = 12,646.65 × 4,047.52
  4. Step 4: Simplify right side
    8,431.03x = 51,187,568.81
  5. Step 5: Solve for x
    x = 51,187,568.81/8,431.03
  6. Step 6: Final answer
    x = 6,071.33

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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.