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Finding the Fourth Proportional to 10,680.76, 14,745.18 and 7,150

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Solution

The fourth proportional to 10,680.76, 14,745.18 and 7,150 is: 9,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.76 : 14,745.18 = 7,150 : x
  2. Step 2: Convert to fraction form
    10,680.76/14,745.18 = 7,150/x
  3. Step 3: Cross multiply
    10,680.76x = 14,745.18 × 7,150
  4. Step 4: Simplify right side
    10,680.76x = 105,428,037
  5. Step 5: Solve for x
    x = 105,428,037/10,680.76
  6. Step 6: Final answer
    x = 9,870.84

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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.