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Finding the Fourth Proportional to 7,498.12, 10,347.46 and 4,140.84

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Solution

The fourth proportional to 7,498.12, 10,347.46 and 4,140.84 is: 5,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.12 : 10,347.46 = 4,140.84 : x
  2. Step 2: Convert to fraction form
    7,498.12/10,347.46 = 4,140.84/x
  3. Step 3: Cross multiply
    7,498.12x = 10,347.46 × 4,140.84
  4. Step 4: Simplify right side
    7,498.12x = 42,847,176.27
  5. Step 5: Solve for x
    x = 42,847,176.27/7,498.12
  6. Step 6: Final answer
    x = 5,714.39

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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.