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Finding the Fourth Proportional to 8,532.89, 12,802.25 and 5,207.80

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Solution

The fourth proportional to 8,532.89, 12,802.25 and 5,207.80 is: 7,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.89 : 12,802.25 = 5,207.80 : x
  2. Step 2: Convert to fraction form
    8,532.89/12,802.25 = 5,207.80/x
  3. Step 3: Cross multiply
    8,532.89x = 12,802.25 × 5,207.80
  4. Step 4: Simplify right side
    8,532.89x = 66,671,557.55
  5. Step 5: Solve for x
    x = 66,671,557.55/8,532.89
  6. Step 6: Final answer
    x = 7,813.48

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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.