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Finding the Fourth Proportional to 10,376.82, 14,320.11 and 5,661.20

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Solution

The fourth proportional to 10,376.82, 14,320.11 and 5,661.20 is: 7,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.82 : 14,320.11 = 5,661.20 : x
  2. Step 2: Convert to fraction form
    10,376.82/14,320.11 = 5,661.20/x
  3. Step 3: Cross multiply
    10,376.82x = 14,320.11 × 5,661.20
  4. Step 4: Simplify right side
    10,376.82x = 81,068,935.13
  5. Step 5: Solve for x
    x = 81,068,935.13/10,376.82
  6. Step 6: Final answer
    x = 7,812.50

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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.