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Finding the Fourth Proportional to 10,707.45, 14,775.79 and 5,927.57

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Solution

The fourth proportional to 10,707.45, 14,775.79 and 5,927.57 is: 8,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.45 : 14,775.79 = 5,927.57 : x
  2. Step 2: Convert to fraction form
    10,707.45/14,775.79 = 5,927.57/x
  3. Step 3: Cross multiply
    10,707.45x = 14,775.79 × 5,927.57
  4. Step 4: Simplify right side
    10,707.45x = 87,584,529.53
  5. Step 5: Solve for x
    x = 87,584,529.53/10,707.45
  6. Step 6: Final answer
    x = 8,179.77

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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.