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Finding the Fourth Proportional to 10,913.60, 16,365 and 5,066.48

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Solution

The fourth proportional to 10,913.60, 16,365 and 5,066.48 is: 7,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.60 : 16,365 = 5,066.48 : x
  2. Step 2: Convert to fraction form
    10,913.60/16,365 = 5,066.48/x
  3. Step 3: Cross multiply
    10,913.60x = 16,365 × 5,066.48
  4. Step 4: Simplify right side
    10,913.60x = 82,912,945.20
  5. Step 5: Solve for x
    x = 82,912,945.20/10,913.60
  6. Step 6: Final answer
    x = 7,597.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.