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Finding the Fourth Proportional to 10,909.50, 15,055.14 and 6,194.52

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Solution

The fourth proportional to 10,909.50, 15,055.14 and 6,194.52 is: 8,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.50 : 15,055.14 = 6,194.52 : x
  2. Step 2: Convert to fraction form
    10,909.50/15,055.14 = 6,194.52/x
  3. Step 3: Cross multiply
    10,909.50x = 15,055.14 × 6,194.52
  4. Step 4: Simplify right side
    10,909.50x = 93,259,365.83
  5. Step 5: Solve for x
    x = 93,259,365.83/10,909.50
  6. Step 6: Final answer
    x = 8,548.45

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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.