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Finding the Fourth Proportional to 7,041.55, 9,714.57 and 4,523.31

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Solution

The fourth proportional to 7,041.55, 9,714.57 and 4,523.31 is: 6,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.55 : 9,714.57 = 4,523.31 : x
  2. Step 2: Convert to fraction form
    7,041.55/9,714.57 = 4,523.31/x
  3. Step 3: Cross multiply
    7,041.55x = 9,714.57 × 4,523.31
  4. Step 4: Simplify right side
    7,041.55x = 43,942,011.63
  5. Step 5: Solve for x
    x = 43,942,011.63/7,041.55
  6. Step 6: Final answer
    x = 6,240.39

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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.