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Finding the Fourth Proportional to 8,009.60, 11,016.34 and 7,013.16

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Solution

The fourth proportional to 8,009.60, 11,016.34 and 7,013.16 is: 9,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.60 : 11,016.34 = 7,013.16 : x
  2. Step 2: Convert to fraction form
    8,009.60/11,016.34 = 7,013.16/x
  3. Step 3: Cross multiply
    8,009.60x = 11,016.34 × 7,013.16
  4. Step 4: Simplify right side
    8,009.60x = 77,259,355.03
  5. Step 5: Solve for x
    x = 77,259,355.03/8,009.60
  6. Step 6: Final answer
    x = 9,645.84

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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.