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Finding the Fourth Proportional to 11,553.69, 15,948.66 and 7,787.60

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Solution

The fourth proportional to 11,553.69, 15,948.66 and 7,787.60 is: 10,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.69 : 15,948.66 = 7,787.60 : x
  2. Step 2: Convert to fraction form
    11,553.69/15,948.66 = 7,787.60/x
  3. Step 3: Cross multiply
    11,553.69x = 15,948.66 × 7,787.60
  4. Step 4: Simplify right side
    11,553.69x = 124,201,784.62
  5. Step 5: Solve for x
    x = 124,201,784.62/11,553.69
  6. Step 6: Final answer
    x = 10,749.97

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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.