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Finding the Fourth Proportional to 8,567.67, 12,842.74 and 4,862.07

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Solution

The fourth proportional to 8,567.67, 12,842.74 and 4,862.07 is: 7,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.67 : 12,842.74 = 4,862.07 : x
  2. Step 2: Convert to fraction form
    8,567.67/12,842.74 = 4,862.07/x
  3. Step 3: Cross multiply
    8,567.67x = 12,842.74 × 4,862.07
  4. Step 4: Simplify right side
    8,567.67x = 62,442,300.87
  5. Step 5: Solve for x
    x = 62,442,300.87/8,567.67
  6. Step 6: Final answer
    x = 7,288.13

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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.