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Finding the Fourth Proportional to 8,032.84, 12,104.10 and 6,604.00

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Solution

The fourth proportional to 8,032.84, 12,104.10 and 6,604.00 is: 9,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.84 : 12,104.10 = 6,604.00 : x
  2. Step 2: Convert to fraction form
    8,032.84/12,104.10 = 6,604.00/x
  3. Step 3: Cross multiply
    8,032.84x = 12,104.10 × 6,604.00
  4. Step 4: Simplify right side
    8,032.84x = 79,935,446.14
  5. Step 5: Solve for x
    x = 79,935,446.14/8,032.84
  6. Step 6: Final answer
    x = 9,951.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.