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Finding the Fourth Proportional to 8,472.80, 11,696.88 and 6,580.12

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Solution

The fourth proportional to 8,472.80, 11,696.88 and 6,580.12 is: 9,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.80 : 11,696.88 = 6,580.12 : x
  2. Step 2: Convert to fraction form
    8,472.80/11,696.88 = 6,580.12/x
  3. Step 3: Cross multiply
    8,472.80x = 11,696.88 × 6,580.12
  4. Step 4: Simplify right side
    8,472.80x = 76,966,874.03
  5. Step 5: Solve for x
    x = 76,966,874.03/8,472.80
  6. Step 6: Final answer
    x = 9,084.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.