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Finding the Fourth Proportional to 8,437.35, 11,643.25 and 4,660.46

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Solution

The fourth proportional to 8,437.35, 11,643.25 and 4,660.46 is: 6,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.35 : 11,643.25 = 4,660.46 : x
  2. Step 2: Convert to fraction form
    8,437.35/11,643.25 = 4,660.46/x
  3. Step 3: Cross multiply
    8,437.35x = 11,643.25 × 4,660.46
  4. Step 4: Simplify right side
    8,437.35x = 54,262,900.90
  5. Step 5: Solve for x
    x = 54,262,900.90/8,437.35
  6. Step 6: Final answer
    x = 6,431.27

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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.