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Finding the Fourth Proportional to 10,965.47, 16,448.22 and 4,387.05

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Solution

The fourth proportional to 10,965.47, 16,448.22 and 4,387.05 is: 6,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.47 : 16,448.22 = 4,387.05 : x
  2. Step 2: Convert to fraction form
    10,965.47/16,448.22 = 4,387.05/x
  3. Step 3: Cross multiply
    10,965.47x = 16,448.22 × 4,387.05
  4. Step 4: Simplify right side
    10,965.47x = 72,159,163.55
  5. Step 5: Solve for x
    x = 72,159,163.55/10,965.47
  6. Step 6: Final answer
    x = 6,580.58

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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.