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Finding the Fourth Proportional to 11,534.76, 15,917.79 and 6,499.20

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Solution

The fourth proportional to 11,534.76, 15,917.79 and 6,499.20 is: 8,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.76 : 15,917.79 = 6,499.20 : x
  2. Step 2: Convert to fraction form
    11,534.76/15,917.79 = 6,499.20/x
  3. Step 3: Cross multiply
    11,534.76x = 15,917.79 × 6,499.20
  4. Step 4: Simplify right side
    11,534.76x = 103,452,900.77
  5. Step 5: Solve for x
    x = 103,452,900.77/11,534.76
  6. Step 6: Final answer
    x = 8,968.80

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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.