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Finding the Fourth Proportional to 10,998.48, 15,166.52 and 7,645.08

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Solution

The fourth proportional to 10,998.48, 15,166.52 and 7,645.08 is: 10,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.48 : 15,166.52 = 7,645.08 : x
  2. Step 2: Convert to fraction form
    10,998.48/15,166.52 = 7,645.08/x
  3. Step 3: Cross multiply
    10,998.48x = 15,166.52 × 7,645.08
  4. Step 4: Simplify right side
    10,998.48x = 115,949,258.72
  5. Step 5: Solve for x
    x = 115,949,258.72/10,998.48
  6. Step 6: Final answer
    x = 10,542.30

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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.