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Finding the Fourth Proportional to 12,802.86, 19,204.29 and 5,872.50

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Solution

The fourth proportional to 12,802.86, 19,204.29 and 5,872.50 is: 8,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.86 : 19,204.29 = 5,872.50 : x
  2. Step 2: Convert to fraction form
    12,802.86/19,204.29 = 5,872.50/x
  3. Step 3: Cross multiply
    12,802.86x = 19,204.29 × 5,872.50
  4. Step 4: Simplify right side
    12,802.86x = 112,777,193.03
  5. Step 5: Solve for x
    x = 112,777,193.03/12,802.86
  6. Step 6: Final answer
    x = 8,808.75

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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.