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Finding the Fourth Proportional to 10,364.76, 14,305.41 and 7,219.13

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Solution

The fourth proportional to 10,364.76, 14,305.41 and 7,219.13 is: 9,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.76 : 14,305.41 = 7,219.13 : x
  2. Step 2: Convert to fraction form
    10,364.76/14,305.41 = 7,219.13/x
  3. Step 3: Cross multiply
    10,364.76x = 14,305.41 × 7,219.13
  4. Step 4: Simplify right side
    10,364.76x = 103,272,542.97
  5. Step 5: Solve for x
    x = 103,272,542.97/10,364.76
  6. Step 6: Final answer
    x = 9,963.81

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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.