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Finding the Fourth Proportional to 10,206.76, 14,087.28 and 6,626.20

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Solution

The fourth proportional to 10,206.76, 14,087.28 and 6,626.20 is: 9,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.76 : 14,087.28 = 6,626.20 : x
  2. Step 2: Convert to fraction form
    10,206.76/14,087.28 = 6,626.20/x
  3. Step 3: Cross multiply
    10,206.76x = 14,087.28 × 6,626.20
  4. Step 4: Simplify right side
    10,206.76x = 93,345,134.74
  5. Step 5: Solve for x
    x = 93,345,134.74/10,206.76
  6. Step 6: Final answer
    x = 9,145.42

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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.