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Finding the Fourth Proportional to 8,681.60, 11,982.16 and 5,146.56

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Solution

The fourth proportional to 8,681.60, 11,982.16 and 5,146.56 is: 7,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.60 : 11,982.16 = 5,146.56 : x
  2. Step 2: Convert to fraction form
    8,681.60/11,982.16 = 5,146.56/x
  3. Step 3: Cross multiply
    8,681.60x = 11,982.16 × 5,146.56
  4. Step 4: Simplify right side
    8,681.60x = 61,666,905.37
  5. Step 5: Solve for x
    x = 61,666,905.37/8,681.60
  6. Step 6: Final answer
    x = 7,103.17

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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.