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Finding the Fourth Proportional to 10,388.80, 15,583.20 and 6,241.60

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Solution

The fourth proportional to 10,388.80, 15,583.20 and 6,241.60 is: 9,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.80 : 15,583.20 = 6,241.60 : x
  2. Step 2: Convert to fraction form
    10,388.80/15,583.20 = 6,241.60/x
  3. Step 3: Cross multiply
    10,388.80x = 15,583.20 × 6,241.60
  4. Step 4: Simplify right side
    10,388.80x = 97,264,101.12
  5. Step 5: Solve for x
    x = 97,264,101.12/10,388.80
  6. Step 6: Final answer
    x = 9,362.40

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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.