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Finding the Fourth Proportional to 12,415.78, 17,132.34 and 7,110.28

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Solution

The fourth proportional to 12,415.78, 17,132.34 and 7,110.28 is: 9,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.78 : 17,132.34 = 7,110.28 : x
  2. Step 2: Convert to fraction form
    12,415.78/17,132.34 = 7,110.28/x
  3. Step 3: Cross multiply
    12,415.78x = 17,132.34 × 7,110.28
  4. Step 4: Simplify right side
    12,415.78x = 121,815,734.46
  5. Step 5: Solve for x
    x = 121,815,734.46/12,415.78
  6. Step 6: Final answer
    x = 9,811.36

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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.