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Finding the Fourth Proportional to 8,206.73, 11,325.14 and 4,669.87

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Solution

The fourth proportional to 8,206.73, 11,325.14 and 4,669.87 is: 6,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.73 : 11,325.14 = 4,669.87 : x
  2. Step 2: Convert to fraction form
    8,206.73/11,325.14 = 4,669.87/x
  3. Step 3: Cross multiply
    8,206.73x = 11,325.14 × 4,669.87
  4. Step 4: Simplify right side
    8,206.73x = 52,886,931.53
  5. Step 5: Solve for x
    x = 52,886,931.53/8,206.73
  6. Step 6: Final answer
    x = 6,444.34

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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.