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Finding the Fourth Proportional to 8,986.14, 13,482.86 and 3,442.10

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Solution

The fourth proportional to 8,986.14, 13,482.86 and 3,442.10 is: 5,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986.14 : 13,482.86 = 3,442.10 : x
  2. Step 2: Convert to fraction form
    8,986.14/13,482.86 = 3,442.10/x
  3. Step 3: Cross multiply
    8,986.14x = 13,482.86 × 3,442.10
  4. Step 4: Simplify right side
    8,986.14x = 46,409,267.78
  5. Step 5: Solve for x
    x = 46,409,267.78/8,986.14
  6. Step 6: Final answer
    x = 5,164.54

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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.