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Finding the Fourth Proportional to 11,046.48, 16,569.72 and 7,774.18

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Solution

The fourth proportional to 11,046.48, 16,569.72 and 7,774.18 is: 11,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.48 : 16,569.72 = 7,774.18 : x
  2. Step 2: Convert to fraction form
    11,046.48/16,569.72 = 7,774.18/x
  3. Step 3: Cross multiply
    11,046.48x = 16,569.72 × 7,774.18
  4. Step 4: Simplify right side
    11,046.48x = 128,815,944.41
  5. Step 5: Solve for x
    x = 128,815,944.41/11,046.48
  6. Step 6: Final answer
    x = 11,661.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.