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Finding the Fourth Proportional to 10,835.46, 14,942.93 and 8,317.68

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Solution

The fourth proportional to 10,835.46, 14,942.93 and 8,317.68 is: 11,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.46 : 14,942.93 = 8,317.68 : x
  2. Step 2: Convert to fraction form
    10,835.46/14,942.93 = 8,317.68/x
  3. Step 3: Cross multiply
    10,835.46x = 14,942.93 × 8,317.68
  4. Step 4: Simplify right side
    10,835.46x = 124,290,393.70
  5. Step 5: Solve for x
    x = 124,290,393.70/10,835.46
  6. Step 6: Final answer
    x = 11,470.71

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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.