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Finding the Fourth Proportional to 10,355.68, 15,523.48 and 4,113.64

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Solution

The fourth proportional to 10,355.68, 15,523.48 and 4,113.64 is: 6,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.68 : 15,523.48 = 4,113.64 : x
  2. Step 2: Convert to fraction form
    10,355.68/15,523.48 = 4,113.64/x
  3. Step 3: Cross multiply
    10,355.68x = 15,523.48 × 4,113.64
  4. Step 4: Simplify right side
    10,355.68x = 63,858,008.27
  5. Step 5: Solve for x
    x = 63,858,008.27/10,355.68
  6. Step 6: Final answer
    x = 6,166.47

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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.