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Finding the Fourth Proportional to 12,564.48, 17,343.09 and 7,848.75

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Solution

The fourth proportional to 12,564.48, 17,343.09 and 7,848.75 is: 10,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.48 : 17,343.09 = 7,848.75 : x
  2. Step 2: Convert to fraction form
    12,564.48/17,343.09 = 7,848.75/x
  3. Step 3: Cross multiply
    12,564.48x = 17,343.09 × 7,848.75
  4. Step 4: Simplify right side
    12,564.48x = 136,121,577.64
  5. Step 5: Solve for x
    x = 136,121,577.64/12,564.48
  6. Step 6: Final answer
    x = 10,833.84

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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.