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Finding the Fourth Proportional to 8,567.49, 12,852.54 and 5,284.11

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Solution

The fourth proportional to 8,567.49, 12,852.54 and 5,284.11 is: 7,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.49 : 12,852.54 = 5,284.11 : x
  2. Step 2: Convert to fraction form
    8,567.49/12,852.54 = 5,284.11/x
  3. Step 3: Cross multiply
    8,567.49x = 12,852.54 × 5,284.11
  4. Step 4: Simplify right side
    8,567.49x = 67,914,235.14
  5. Step 5: Solve for x
    x = 67,914,235.14/8,567.49
  6. Step 6: Final answer
    x = 7,926.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.