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Finding the Fourth Proportional to 13,125.44, 18,112.98 and 7,157

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Solution

The fourth proportional to 13,125.44, 18,112.98 and 7,157 is: 9,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.44 : 18,112.98 = 7,157 : x
  2. Step 2: Convert to fraction form
    13,125.44/18,112.98 = 7,157/x
  3. Step 3: Cross multiply
    13,125.44x = 18,112.98 × 7,157
  4. Step 4: Simplify right side
    13,125.44x = 129,634,597.86
  5. Step 5: Solve for x
    x = 129,634,597.86/13,125.44
  6. Step 6: Final answer
    x = 9,876.59

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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.