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Finding the Fourth Proportional to 11,364.14, 15,686.80 and 6,649.94

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Solution

The fourth proportional to 11,364.14, 15,686.80 and 6,649.94 is: 9,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.14 : 15,686.80 = 6,649.94 : x
  2. Step 2: Convert to fraction form
    11,364.14/15,686.80 = 6,649.94/x
  3. Step 3: Cross multiply
    11,364.14x = 15,686.80 × 6,649.94
  4. Step 4: Simplify right side
    11,364.14x = 104,316,278.79
  5. Step 5: Solve for x
    x = 104,316,278.79/11,364.14
  6. Step 6: Final answer
    x = 9,179.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.