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Finding the Fourth Proportional to 10,300.97, 15,448.41 and 5,368.07

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Solution

The fourth proportional to 10,300.97, 15,448.41 and 5,368.07 is: 8,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.97 : 15,448.41 = 5,368.07 : x
  2. Step 2: Convert to fraction form
    10,300.97/15,448.41 = 5,368.07/x
  3. Step 3: Cross multiply
    10,300.97x = 15,448.41 × 5,368.07
  4. Step 4: Simplify right side
    10,300.97x = 82,928,069.03
  5. Step 5: Solve for x
    x = 82,928,069.03/10,300.97
  6. Step 6: Final answer
    x = 8,050.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.