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Finding the Fourth Proportional to 10,309.84, 15,464.64 and 7,144.40

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Solution

The fourth proportional to 10,309.84, 15,464.64 and 7,144.40 is: 10,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.84 : 15,464.64 = 7,144.40 : x
  2. Step 2: Convert to fraction form
    10,309.84/15,464.64 = 7,144.40/x
  3. Step 3: Cross multiply
    10,309.84x = 15,464.64 × 7,144.40
  4. Step 4: Simplify right side
    10,309.84x = 110,485,574.02
  5. Step 5: Solve for x
    x = 110,485,574.02/10,309.84
  6. Step 6: Final answer
    x = 10,716.52

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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.