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Finding the Fourth Proportional to 7,607.72, 11,402.16 and 4,310.82

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Solution

The fourth proportional to 7,607.72, 11,402.16 and 4,310.82 is: 6,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.72 : 11,402.16 = 4,310.82 : x
  2. Step 2: Convert to fraction form
    7,607.72/11,402.16 = 4,310.82/x
  3. Step 3: Cross multiply
    7,607.72x = 11,402.16 × 4,310.82
  4. Step 4: Simplify right side
    7,607.72x = 49,152,659.37
  5. Step 5: Solve for x
    x = 49,152,659.37/7,607.72
  6. Step 6: Final answer
    x = 6,460.89

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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.