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Finding the Fourth Proportional to 7,785.50, 10,743.99 and 4,991

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Solution

The fourth proportional to 7,785.50, 10,743.99 and 4,991 is: 6,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.50 : 10,743.99 = 4,991 : x
  2. Step 2: Convert to fraction form
    7,785.50/10,743.99 = 4,991/x
  3. Step 3: Cross multiply
    7,785.50x = 10,743.99 × 4,991
  4. Step 4: Simplify right side
    7,785.50x = 53,623,254.09
  5. Step 5: Solve for x
    x = 53,623,254.09/7,785.50
  6. Step 6: Final answer
    x = 6,887.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.