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Finding the Fourth Proportional to 10,309.60, 15,448.41 and 7,153.21

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Solution

The fourth proportional to 10,309.60, 15,448.41 and 7,153.21 is: 10,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.60 : 15,448.41 = 7,153.21 : x
  2. Step 2: Convert to fraction form
    10,309.60/15,448.41 = 7,153.21/x
  3. Step 3: Cross multiply
    10,309.60x = 15,448.41 × 7,153.21
  4. Step 4: Simplify right side
    10,309.60x = 110,505,720.90
  5. Step 5: Solve for x
    x = 110,505,720.90/10,309.60
  6. Step 6: Final answer
    x = 10,718.72

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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.