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Finding the Fourth Proportional to 10,022.76, 13,821.94 and 7,476.13

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Solution

The fourth proportional to 10,022.76, 13,821.94 and 7,476.13 is: 10,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.76 : 13,821.94 = 7,476.13 : x
  2. Step 2: Convert to fraction form
    10,022.76/13,821.94 = 7,476.13/x
  3. Step 3: Cross multiply
    10,022.76x = 13,821.94 × 7,476.13
  4. Step 4: Simplify right side
    10,022.76x = 103,334,620.29
  5. Step 5: Solve for x
    x = 103,334,620.29/10,022.76
  6. Step 6: Final answer
    x = 10,310.00

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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.