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Finding the Fourth Proportional to 8,437.14, 11,643.03 and 4,660.11

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Solution

The fourth proportional to 8,437.14, 11,643.03 and 4,660.11 is: 6,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.14 : 11,643.03 = 4,660.11 : x
  2. Step 2: Convert to fraction form
    8,437.14/11,643.03 = 4,660.11/x
  3. Step 3: Cross multiply
    8,437.14x = 11,643.03 × 4,660.11
  4. Step 4: Simplify right side
    8,437.14x = 54,257,800.53
  5. Step 5: Solve for x
    x = 54,257,800.53/8,437.14
  6. Step 6: Final answer
    x = 6,430.83

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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.