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Finding the Fourth Proportional to 7,533.64, 11,289.52 and 5,346.64

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Solution

The fourth proportional to 7,533.64, 11,289.52 and 5,346.64 is: 8,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.64 : 11,289.52 = 5,346.64 : x
  2. Step 2: Convert to fraction form
    7,533.64/11,289.52 = 5,346.64/x
  3. Step 3: Cross multiply
    7,533.64x = 11,289.52 × 5,346.64
  4. Step 4: Simplify right side
    7,533.64x = 60,360,999.21
  5. Step 5: Solve for x
    x = 60,360,999.21/7,533.64
  6. Step 6: Final answer
    x = 8,012.20

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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.