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Finding the Fourth Proportional to 7,927.46, 11,887.74 and 4,228.86

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Solution

The fourth proportional to 7,927.46, 11,887.74 and 4,228.86 is: 6,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.46 : 11,887.74 = 4,228.86 : x
  2. Step 2: Convert to fraction form
    7,927.46/11,887.74 = 4,228.86/x
  3. Step 3: Cross multiply
    7,927.46x = 11,887.74 × 4,228.86
  4. Step 4: Simplify right side
    7,927.46x = 50,271,588.18
  5. Step 5: Solve for x
    x = 50,271,588.18/7,927.46
  6. Step 6: Final answer
    x = 6,341.45

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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.