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Finding the Fourth Proportional to 10,622.34, 15,928.05 and 4,773.96

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Solution

The fourth proportional to 10,622.34, 15,928.05 and 4,773.96 is: 7,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.34 : 15,928.05 = 4,773.96 : x
  2. Step 2: Convert to fraction form
    10,622.34/15,928.05 = 4,773.96/x
  3. Step 3: Cross multiply
    10,622.34x = 15,928.05 × 4,773.96
  4. Step 4: Simplify right side
    10,622.34x = 76,039,873.58
  5. Step 5: Solve for x
    x = 76,039,873.58/10,622.34
  6. Step 6: Final answer
    x = 7,158.49

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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.