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Finding the Fourth Proportional to 7,043.64, 10,563.98 and 4,537.32

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Solution

The fourth proportional to 7,043.64, 10,563.98 and 4,537.32 is: 6,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.64 : 10,563.98 = 4,537.32 : x
  2. Step 2: Convert to fraction form
    7,043.64/10,563.98 = 4,537.32/x
  3. Step 3: Cross multiply
    7,043.64x = 10,563.98 × 4,537.32
  4. Step 4: Simplify right side
    7,043.64x = 47,932,135.05
  5. Step 5: Solve for x
    x = 47,932,135.05/7,043.64
  6. Step 6: Final answer
    x = 6,805.02

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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.