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Finding the Fourth Proportional to 10,207.64, 14,087.67 and 5,959.74

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Solution

The fourth proportional to 10,207.64, 14,087.67 and 5,959.74 is: 8,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.64 : 14,087.67 = 5,959.74 : x
  2. Step 2: Convert to fraction form
    10,207.64/14,087.67 = 5,959.74/x
  3. Step 3: Cross multiply
    10,207.64x = 14,087.67 × 5,959.74
  4. Step 4: Simplify right side
    10,207.64x = 83,958,903.23
  5. Step 5: Solve for x
    x = 83,958,903.23/10,207.64
  6. Step 6: Final answer
    x = 8,225.11

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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.