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Finding the Fourth Proportional to 10,390.92, 14,339.52 and 5,675.28

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Solution

The fourth proportional to 10,390.92, 14,339.52 and 5,675.28 is: 7,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.92 : 14,339.52 = 5,675.28 : x
  2. Step 2: Convert to fraction form
    10,390.92/14,339.52 = 5,675.28/x
  3. Step 3: Cross multiply
    10,390.92x = 14,339.52 × 5,675.28
  4. Step 4: Simplify right side
    10,390.92x = 81,380,791.07
  5. Step 5: Solve for x
    x = 81,380,791.07/10,390.92
  6. Step 6: Final answer
    x = 7,831.91

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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.