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Finding the Fourth Proportional to 8,498.51, 11,724.67 and 6,265.70

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Solution

The fourth proportional to 8,498.51, 11,724.67 and 6,265.70 is: 8,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.51 : 11,724.67 = 6,265.70 : x
  2. Step 2: Convert to fraction form
    8,498.51/11,724.67 = 6,265.70/x
  3. Step 3: Cross multiply
    8,498.51x = 11,724.67 × 6,265.70
  4. Step 4: Simplify right side
    8,498.51x = 73,463,264.82
  5. Step 5: Solve for x
    x = 73,463,264.82/8,498.51
  6. Step 6: Final answer
    x = 8,644.25

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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.