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Finding the Fourth Proportional to 11,898.58, 16,419.50 and 6,521

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Solution

The fourth proportional to 11,898.58, 16,419.50 and 6,521 is: 8,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.58 : 16,419.50 = 6,521 : x
  2. Step 2: Convert to fraction form
    11,898.58/16,419.50 = 6,521/x
  3. Step 3: Cross multiply
    11,898.58x = 16,419.50 × 6,521
  4. Step 4: Simplify right side
    11,898.58x = 107,071,559.50
  5. Step 5: Solve for x
    x = 107,071,559.50/11,898.58
  6. Step 6: Final answer
    x = 8,998.68

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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.