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Finding the Fourth Proportional to 10,320, 14,243.04 and 6,341.44

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Solution

The fourth proportional to 10,320, 14,243.04 and 6,341.44 is: 8,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320 : 14,243.04 = 6,341.44 : x
  2. Step 2: Convert to fraction form
    10,320/14,243.04 = 6,341.44/x
  3. Step 3: Cross multiply
    10,320x = 14,243.04 × 6,341.44
  4. Step 4: Simplify right side
    10,320x = 90,321,383.58
  5. Step 5: Solve for x
    x = 90,321,383.58/10,320
  6. Step 6: Final answer
    x = 8,752.07

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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.