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Finding the Fourth Proportional to 10,077.60, 13,908.08 and 5,602.80

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Solution

The fourth proportional to 10,077.60, 13,908.08 and 5,602.80 is: 7,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.60 : 13,908.08 = 5,602.80 : x
  2. Step 2: Convert to fraction form
    10,077.60/13,908.08 = 5,602.80/x
  3. Step 3: Cross multiply
    10,077.60x = 13,908.08 × 5,602.80
  4. Step 4: Simplify right side
    10,077.60x = 77,924,190.62
  5. Step 5: Solve for x
    x = 77,924,190.62/10,077.60
  6. Step 6: Final answer
    x = 7,732.42

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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.