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Finding the Fourth Proportional to 11,338.64, 15,646.64 and 6,302.69

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Solution

The fourth proportional to 11,338.64, 15,646.64 and 6,302.69 is: 8,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.64 : 15,646.64 = 6,302.69 : x
  2. Step 2: Convert to fraction form
    11,338.64/15,646.64 = 6,302.69/x
  3. Step 3: Cross multiply
    11,338.64x = 15,646.64 × 6,302.69
  4. Step 4: Simplify right side
    11,338.64x = 98,615,858.99
  5. Step 5: Solve for x
    x = 98,615,858.99/11,338.64
  6. Step 6: Final answer
    x = 8,697.33

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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.