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Finding the Fourth Proportional to 11,059.29, 15,259.14 and 6,278.16

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Solution

The fourth proportional to 11,059.29, 15,259.14 and 6,278.16 is: 8,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.29 : 15,259.14 = 6,278.16 : x
  2. Step 2: Convert to fraction form
    11,059.29/15,259.14 = 6,278.16/x
  3. Step 3: Cross multiply
    11,059.29x = 15,259.14 × 6,278.16
  4. Step 4: Simplify right side
    11,059.29x = 95,799,322.38
  5. Step 5: Solve for x
    x = 95,799,322.38/11,059.29
  6. Step 6: Final answer
    x = 8,662.34

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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.