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Finding the Fourth Proportional to 7,464.32, 10,300.80 and 4,321.28

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Solution

The fourth proportional to 7,464.32, 10,300.80 and 4,321.28 is: 5,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.32 : 10,300.80 = 4,321.28 : x
  2. Step 2: Convert to fraction form
    7,464.32/10,300.80 = 4,321.28/x
  3. Step 3: Cross multiply
    7,464.32x = 10,300.80 × 4,321.28
  4. Step 4: Simplify right side
    7,464.32x = 44,512,641.02
  5. Step 5: Solve for x
    x = 44,512,641.02/7,464.32
  6. Step 6: Final answer
    x = 5,963.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.