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Finding the Fourth Proportional to 7,354.64, 11,035.56 and 2,975.24

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Solution

The fourth proportional to 7,354.64, 11,035.56 and 2,975.24 is: 4,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.64 : 11,035.56 = 2,975.24 : x
  2. Step 2: Convert to fraction form
    7,354.64/11,035.56 = 2,975.24/x
  3. Step 3: Cross multiply
    7,354.64x = 11,035.56 × 2,975.24
  4. Step 4: Simplify right side
    7,354.64x = 32,833,439.53
  5. Step 5: Solve for x
    x = 32,833,439.53/7,354.64
  6. Step 6: Final answer
    x = 4,464.32

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Why These Related Problems?

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