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Finding the Fourth Proportional to 10,267.86, 15,370.32 and 7,310.01

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Solution

The fourth proportional to 10,267.86, 15,370.32 and 7,310.01 is: 10,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.86 : 15,370.32 = 7,310.01 : x
  2. Step 2: Convert to fraction form
    10,267.86/15,370.32 = 7,310.01/x
  3. Step 3: Cross multiply
    10,267.86x = 15,370.32 × 7,310.01
  4. Step 4: Simplify right side
    10,267.86x = 112,357,192.90
  5. Step 5: Solve for x
    x = 112,357,192.90/10,267.86
  6. Step 6: Final answer
    x = 10,942.61

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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.