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Finding the Fourth Proportional to 11,898.84, 16,420.52 and 6,593.76

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Solution

The fourth proportional to 11,898.84, 16,420.52 and 6,593.76 is: 9,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.84 : 16,420.52 = 6,593.76 : x
  2. Step 2: Convert to fraction form
    11,898.84/16,420.52 = 6,593.76/x
  3. Step 3: Cross multiply
    11,898.84x = 16,420.52 × 6,593.76
  4. Step 4: Simplify right side
    11,898.84x = 108,272,967.96
  5. Step 5: Solve for x
    x = 108,272,967.96/11,898.84
  6. Step 6: Final answer
    x = 9,099.46

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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.