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Finding the Fourth Proportional to 8,374.01, 12,552.18 and 2,825.40

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Solution

The fourth proportional to 8,374.01, 12,552.18 and 2,825.40 is: 4,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.01 : 12,552.18 = 2,825.40 : x
  2. Step 2: Convert to fraction form
    8,374.01/12,552.18 = 2,825.40/x
  3. Step 3: Cross multiply
    8,374.01x = 12,552.18 × 2,825.40
  4. Step 4: Simplify right side
    8,374.01x = 35,464,929.37
  5. Step 5: Solve for x
    x = 35,464,929.37/8,374.01
  6. Step 6: Final answer
    x = 4,235.12

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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.