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Finding the Fourth Proportional to 7,344.84, 10,133.82 and 6,975.48

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Solution

The fourth proportional to 7,344.84, 10,133.82 and 6,975.48 is: 9,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.84 : 10,133.82 = 6,975.48 : x
  2. Step 2: Convert to fraction form
    7,344.84/10,133.82 = 6,975.48/x
  3. Step 3: Cross multiply
    7,344.84x = 10,133.82 × 6,975.48
  4. Step 4: Simplify right side
    7,344.84x = 70,688,258.73
  5. Step 5: Solve for x
    x = 70,688,258.73/7,344.84
  6. Step 6: Final answer
    x = 9,624.21

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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.