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Finding the Fourth Proportional to 7,657.70, 11,491.40 and 3,275.18

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Solution

The fourth proportional to 7,657.70, 11,491.40 and 3,275.18 is: 4,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.70 : 11,491.40 = 3,275.18 : x
  2. Step 2: Convert to fraction form
    7,657.70/11,491.40 = 3,275.18/x
  3. Step 3: Cross multiply
    7,657.70x = 11,491.40 × 3,275.18
  4. Step 4: Simplify right side
    7,657.70x = 37,636,403.45
  5. Step 5: Solve for x
    x = 37,636,403.45/7,657.70
  6. Step 6: Final answer
    x = 4,914.84

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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.