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Finding the Fourth Proportional to 12,887.16, 17,784.28 and 7,851.38

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Solution

The fourth proportional to 12,887.16, 17,784.28 and 7,851.38 is: 10,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.16 : 17,784.28 = 7,851.38 : x
  2. Step 2: Convert to fraction form
    12,887.16/17,784.28 = 7,851.38/x
  3. Step 3: Cross multiply
    12,887.16x = 17,784.28 × 7,851.38
  4. Step 4: Simplify right side
    12,887.16x = 139,631,140.31
  5. Step 5: Solve for x
    x = 139,631,140.31/12,887.16
  6. Step 6: Final answer
    x = 10,834.90

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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.