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Finding the Fourth Proportional to 10,951.76, 16,437.40 and 5,111.68

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Solution

The fourth proportional to 10,951.76, 16,437.40 and 5,111.68 is: 7,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.76 : 16,437.40 = 5,111.68 : x
  2. Step 2: Convert to fraction form
    10,951.76/16,437.40 = 5,111.68/x
  3. Step 3: Cross multiply
    10,951.76x = 16,437.40 × 5,111.68
  4. Step 4: Simplify right side
    10,951.76x = 84,022,728.83
  5. Step 5: Solve for x
    x = 84,022,728.83/10,951.76
  6. Step 6: Final answer
    x = 7,672.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.