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Finding the Fourth Proportional to 7,657.09, 11,478.70 and 5,318.20

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Solution

The fourth proportional to 7,657.09, 11,478.70 and 5,318.20 is: 7,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.09 : 11,478.70 = 5,318.20 : x
  2. Step 2: Convert to fraction form
    7,657.09/11,478.70 = 5,318.20/x
  3. Step 3: Cross multiply
    7,657.09x = 11,478.70 × 5,318.20
  4. Step 4: Simplify right side
    7,657.09x = 61,046,056.63
  5. Step 5: Solve for x
    x = 61,046,056.63/7,657.09
  6. Step 6: Final answer
    x = 7,972.49

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Why These Related Problems?

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