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Finding the Fourth Proportional to 7,005.12, 10,509.60 and 2,388.48

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Solution

The fourth proportional to 7,005.12, 10,509.60 and 2,388.48 is: 3,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.12 : 10,509.60 = 2,388.48 : x
  2. Step 2: Convert to fraction form
    7,005.12/10,509.60 = 2,388.48/x
  3. Step 3: Cross multiply
    7,005.12x = 10,509.60 × 2,388.48
  4. Step 4: Simplify right side
    7,005.12x = 25,101,969.41
  5. Step 5: Solve for x
    x = 25,101,969.41/7,005.12
  6. Step 6: Final answer
    x = 3,583.37

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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.