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Finding the Fourth Proportional to 8,264.06, 12,325.40 and 7,972.46

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Solution

The fourth proportional to 8,264.06, 12,325.40 and 7,972.46 is: 11,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.06 : 12,325.40 = 7,972.46 : x
  2. Step 2: Convert to fraction form
    8,264.06/12,325.40 = 7,972.46/x
  3. Step 3: Cross multiply
    8,264.06x = 12,325.40 × 7,972.46
  4. Step 4: Simplify right side
    8,264.06x = 98,263,758.48
  5. Step 5: Solve for x
    x = 98,263,758.48/8,264.06
  6. Step 6: Final answer
    x = 11,890.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.