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Finding the Fourth Proportional to 11,598.05, 16,005.25 and 6,292.76

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Solution

The fourth proportional to 11,598.05, 16,005.25 and 6,292.76 is: 8,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.05 : 16,005.25 = 6,292.76 : x
  2. Step 2: Convert to fraction form
    11,598.05/16,005.25 = 6,292.76/x
  3. Step 3: Cross multiply
    11,598.05x = 16,005.25 × 6,292.76
  4. Step 4: Simplify right side
    11,598.05x = 100,717,089.43
  5. Step 5: Solve for x
    x = 100,717,089.43/11,598.05
  6. Step 6: Final answer
    x = 8,683.97

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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.