Home / 7,823.59-11,735.53-2,558.64

Finding the Fourth Proportional to 7,823.59, 11,735.53 and 2,558.64

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Solution

The fourth proportional to 7,823.59, 11,735.53 and 2,558.64 is: 3,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.59 : 11,735.53 = 2,558.64 : x
  2. Step 2: Convert to fraction form
    7,823.59/11,735.53 = 2,558.64/x
  3. Step 3: Cross multiply
    7,823.59x = 11,735.53 × 2,558.64
  4. Step 4: Simplify right side
    7,823.59x = 30,026,982.47
  5. Step 5: Solve for x
    x = 30,026,982.47/7,823.59
  6. Step 6: Final answer
    x = 3,838.01

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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.