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Finding the Fourth Proportional to 11,716, 16,168.56 and 6,748

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Solution

The fourth proportional to 11,716, 16,168.56 and 6,748 is: 9,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716 : 16,168.56 = 6,748 : x
  2. Step 2: Convert to fraction form
    11,716/16,168.56 = 6,748/x
  3. Step 3: Cross multiply
    11,716x = 16,168.56 × 6,748
  4. Step 4: Simplify right side
    11,716x = 109,105,442.88
  5. Step 5: Solve for x
    x = 109,105,442.88/11,716
  6. Step 6: Final answer
    x = 9,312.52

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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.