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Finding the Fourth Proportional to 7,464.40, 11,180.40 and 4,548.40

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Solution

The fourth proportional to 7,464.40, 11,180.40 and 4,548.40 is: 6,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.40 : 11,180.40 = 4,548.40 : x
  2. Step 2: Convert to fraction form
    7,464.40/11,180.40 = 4,548.40/x
  3. Step 3: Cross multiply
    7,464.40x = 11,180.40 × 4,548.40
  4. Step 4: Simplify right side
    7,464.40x = 50,852,931.36
  5. Step 5: Solve for x
    x = 50,852,931.36/7,464.40
  6. Step 6: Final answer
    x = 6,812.73

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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.