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Finding the Fourth Proportional to 8,567.36, 11,806.10 and 6,553.05

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Solution

The fourth proportional to 8,567.36, 11,806.10 and 6,553.05 is: 9,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.36 : 11,806.10 = 6,553.05 : x
  2. Step 2: Convert to fraction form
    8,567.36/11,806.10 = 6,553.05/x
  3. Step 3: Cross multiply
    8,567.36x = 11,806.10 × 6,553.05
  4. Step 4: Simplify right side
    8,567.36x = 77,365,930.84
  5. Step 5: Solve for x
    x = 77,365,930.84/8,567.36
  6. Step 6: Final answer
    x = 9,030.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.