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Finding the Fourth Proportional to 11,338.33, 15,646.53 and 6,302.41

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Solution

The fourth proportional to 11,338.33, 15,646.53 and 6,302.41 is: 8,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.33 : 15,646.53 = 6,302.41 : x
  2. Step 2: Convert to fraction form
    11,338.33/15,646.53 = 6,302.41/x
  3. Step 3: Cross multiply
    11,338.33x = 15,646.53 × 6,302.41
  4. Step 4: Simplify right side
    11,338.33x = 98,610,847.14
  5. Step 5: Solve for x
    x = 98,610,847.14/11,338.33
  6. Step 6: Final answer
    x = 8,697.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.