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Finding the Fourth Proportional to 11,898.48, 16,418.78 and 7,117.46

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Solution

The fourth proportional to 11,898.48, 16,418.78 and 7,117.46 is: 9,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.48 : 16,418.78 = 7,117.46 : x
  2. Step 2: Convert to fraction form
    11,898.48/16,418.78 = 7,117.46/x
  3. Step 3: Cross multiply
    11,898.48x = 16,418.78 × 7,117.46
  4. Step 4: Simplify right side
    11,898.48x = 116,860,009.90
  5. Step 5: Solve for x
    x = 116,860,009.90/11,898.48
  6. Step 6: Final answer
    x = 9,821.42

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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.