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Finding the Fourth Proportional to 10,390.50, 14,338.89 and 5,674.79

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Solution

The fourth proportional to 10,390.50, 14,338.89 and 5,674.79 is: 7,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.50 : 14,338.89 = 5,674.79 : x
  2. Step 2: Convert to fraction form
    10,390.50/14,338.89 = 5,674.79/x
  3. Step 3: Cross multiply
    10,390.50x = 14,338.89 × 5,674.79
  4. Step 4: Simplify right side
    10,390.50x = 81,370,225.43
  5. Step 5: Solve for x
    x = 81,370,225.43/10,390.50
  6. Step 6: Final answer
    x = 7,831.21

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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.