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Finding the Fourth Proportional to 8,567.89, 11,824.30 and 5,210.08

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Solution

The fourth proportional to 8,567.89, 11,824.30 and 5,210.08 is: 7,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.89 : 11,824.30 = 5,210.08 : x
  2. Step 2: Convert to fraction form
    8,567.89/11,824.30 = 5,210.08/x
  3. Step 3: Cross multiply
    8,567.89x = 11,824.30 × 5,210.08
  4. Step 4: Simplify right side
    8,567.89x = 61,605,548.94
  5. Step 5: Solve for x
    x = 61,605,548.94/8,567.89
  6. Step 6: Final answer
    x = 7,190.28

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