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Finding the Fourth Proportional to 12,386.15, 17,107.08 and 8,156.12

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Solution

The fourth proportional to 12,386.15, 17,107.08 and 8,156.12 is: 11,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.15 : 17,107.08 = 8,156.12 : x
  2. Step 2: Convert to fraction form
    12,386.15/17,107.08 = 8,156.12/x
  3. Step 3: Cross multiply
    12,386.15x = 17,107.08 × 8,156.12
  4. Step 4: Simplify right side
    12,386.15x = 139,527,423.31
  5. Step 5: Solve for x
    x = 139,527,423.31/12,386.15
  6. Step 6: Final answer
    x = 11,264.79

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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.