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Finding the Fourth Proportional to 11,540.84, 15,926.64 and 6,505.28

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Solution

The fourth proportional to 11,540.84, 15,926.64 and 6,505.28 is: 8,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.84 : 15,926.64 = 6,505.28 : x
  2. Step 2: Convert to fraction form
    11,540.84/15,926.64 = 6,505.28/x
  3. Step 3: Cross multiply
    11,540.84x = 15,926.64 × 6,505.28
  4. Step 4: Simplify right side
    11,540.84x = 103,607,252.66
  5. Step 5: Solve for x
    x = 103,607,252.66/11,540.84
  6. Step 6: Final answer
    x = 8,977.44

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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.