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Finding the Fourth Proportional to 11,403.84, 15,736.80 and 6,368.64

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Solution

The fourth proportional to 11,403.84, 15,736.80 and 6,368.64 is: 8,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.84 : 15,736.80 = 6,368.64 : x
  2. Step 2: Convert to fraction form
    11,403.84/15,736.80 = 6,368.64/x
  3. Step 3: Cross multiply
    11,403.84x = 15,736.80 × 6,368.64
  4. Step 4: Simplify right side
    11,403.84x = 100,222,013.95
  5. Step 5: Solve for x
    x = 100,222,013.95/11,403.84
  6. Step 6: Final answer
    x = 8,788.44

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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.