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Finding the Fourth Proportional to 10,390.32, 14,338.76 and 5,674.91

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Solution

The fourth proportional to 10,390.32, 14,338.76 and 5,674.91 is: 7,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.32 : 14,338.76 = 5,674.91 : x
  2. Step 2: Convert to fraction form
    10,390.32/14,338.76 = 5,674.91/x
  3. Step 3: Cross multiply
    10,390.32x = 14,338.76 × 5,674.91
  4. Step 4: Simplify right side
    10,390.32x = 81,371,072.44
  5. Step 5: Solve for x
    x = 81,371,072.44/10,390.32
  6. Step 6: Final answer
    x = 7,831.43

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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.