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Finding the Fourth Proportional to 7,817.46, 10,788.11 and 4,232.40

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Solution

The fourth proportional to 7,817.46, 10,788.11 and 4,232.40 is: 5,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.46 : 10,788.11 = 4,232.40 : x
  2. Step 2: Convert to fraction form
    7,817.46/10,788.11 = 4,232.40/x
  3. Step 3: Cross multiply
    7,817.46x = 10,788.11 × 4,232.40
  4. Step 4: Simplify right side
    7,817.46x = 45,659,596.76
  5. Step 5: Solve for x
    x = 45,659,596.76/7,817.46
  6. Step 6: Final answer
    x = 5,840.72

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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.