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Finding the Fourth Proportional to 8,032.67, 12,047.64 and 2,187.91

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Solution

The fourth proportional to 8,032.67, 12,047.64 and 2,187.91 is: 3,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.67 : 12,047.64 = 2,187.91 : x
  2. Step 2: Convert to fraction form
    8,032.67/12,047.64 = 2,187.91/x
  3. Step 3: Cross multiply
    8,032.67x = 12,047.64 × 2,187.91
  4. Step 4: Simplify right side
    8,032.67x = 26,359,158.89
  5. Step 5: Solve for x
    x = 26,359,158.89/8,032.67
  6. Step 6: Final answer
    x = 3,281.49

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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.