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Finding the Fourth Proportional to 8,567.62, 12,852.48 and 3,301.40

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Solution

The fourth proportional to 8,567.62, 12,852.48 and 3,301.40 is: 4,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.62 : 12,852.48 = 3,301.40 : x
  2. Step 2: Convert to fraction form
    8,567.62/12,852.48 = 3,301.40/x
  3. Step 3: Cross multiply
    8,567.62x = 12,852.48 × 3,301.40
  4. Step 4: Simplify right side
    8,567.62x = 42,431,177.47
  5. Step 5: Solve for x
    x = 42,431,177.47/8,567.62
  6. Step 6: Final answer
    x = 4,952.50

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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.