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Finding the Fourth Proportional to 7,698.16, 11,549.68 and 3,018

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Solution

The fourth proportional to 7,698.16, 11,549.68 and 3,018 is: 4,527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.16 : 11,549.68 = 3,018 : x
  2. Step 2: Convert to fraction form
    7,698.16/11,549.68 = 3,018/x
  3. Step 3: Cross multiply
    7,698.16x = 11,549.68 × 3,018
  4. Step 4: Simplify right side
    7,698.16x = 34,856,934.24
  5. Step 5: Solve for x
    x = 34,856,934.24/7,698.16
  6. Step 6: Final answer
    x = 4,527.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.