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Finding the Fourth Proportional to 11,523.42, 15,902.19 and 6,807.60

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Solution

The fourth proportional to 11,523.42, 15,902.19 and 6,807.60 is: 9,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.42 : 15,902.19 = 6,807.60 : x
  2. Step 2: Convert to fraction form
    11,523.42/15,902.19 = 6,807.60/x
  3. Step 3: Cross multiply
    11,523.42x = 15,902.19 × 6,807.60
  4. Step 4: Simplify right side
    11,523.42x = 108,255,748.64
  5. Step 5: Solve for x
    x = 108,255,748.64/11,523.42
  6. Step 6: Final answer
    x = 9,394.41

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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.