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Finding the Fourth Proportional to 12,876.42, 17,767.99 and 7,210.38

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Solution

The fourth proportional to 12,876.42, 17,767.99 and 7,210.38 is: 9,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.42 : 17,767.99 = 7,210.38 : x
  2. Step 2: Convert to fraction form
    12,876.42/17,767.99 = 7,210.38/x
  3. Step 3: Cross multiply
    12,876.42x = 17,767.99 × 7,210.38
  4. Step 4: Simplify right side
    12,876.42x = 128,113,968.75
  5. Step 5: Solve for x
    x = 128,113,968.75/12,876.42
  6. Step 6: Final answer
    x = 9,949.50

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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.