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Finding the Fourth Proportional to 11,598.32, 16,007.40 and 6,883.76

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Solution

The fourth proportional to 11,598.32, 16,007.40 and 6,883.76 is: 9,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.32 : 16,007.40 = 6,883.76 : x
  2. Step 2: Convert to fraction form
    11,598.32/16,007.40 = 6,883.76/x
  3. Step 3: Cross multiply
    11,598.32x = 16,007.40 × 6,883.76
  4. Step 4: Simplify right side
    11,598.32x = 110,191,099.82
  5. Step 5: Solve for x
    x = 110,191,099.82/11,598.32
  6. Step 6: Final answer
    x = 9,500.61

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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.