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Finding the Fourth Proportional to 8,460.25, 11,654.28 and 7,197.26

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Solution

The fourth proportional to 8,460.25, 11,654.28 and 7,197.26 is: 9,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.25 : 11,654.28 = 7,197.26 : x
  2. Step 2: Convert to fraction form
    8,460.25/11,654.28 = 7,197.26/x
  3. Step 3: Cross multiply
    8,460.25x = 11,654.28 × 7,197.26
  4. Step 4: Simplify right side
    8,460.25x = 83,878,825.00
  5. Step 5: Solve for x
    x = 83,878,825.00/8,460.25
  6. Step 6: Final answer
    x = 9,914.46

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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.