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Finding the Fourth Proportional to 7,095.72, 10,645.98 and 3,146.44

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Solution

The fourth proportional to 7,095.72, 10,645.98 and 3,146.44 is: 4,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.72 : 10,645.98 = 3,146.44 : x
  2. Step 2: Convert to fraction form
    7,095.72/10,645.98 = 3,146.44/x
  3. Step 3: Cross multiply
    7,095.72x = 10,645.98 × 3,146.44
  4. Step 4: Simplify right side
    7,095.72x = 33,496,937.31
  5. Step 5: Solve for x
    x = 33,496,937.31/7,095.72
  6. Step 6: Final answer
    x = 4,720.72

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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.