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Finding the Fourth Proportional to 8,435.75, 12,637.14 and 7,265.70

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Solution

The fourth proportional to 8,435.75, 12,637.14 and 7,265.70 is: 10,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.75 : 12,637.14 = 7,265.70 : x
  2. Step 2: Convert to fraction form
    8,435.75/12,637.14 = 7,265.70/x
  3. Step 3: Cross multiply
    8,435.75x = 12,637.14 × 7,265.70
  4. Step 4: Simplify right side
    8,435.75x = 91,817,661.29
  5. Step 5: Solve for x
    x = 91,817,661.29/8,435.75
  6. Step 6: Final answer
    x = 10,884.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.