Home / 7,832.00-11,746.74-2,284.04

Finding the Fourth Proportional to 7,832.00, 11,746.74 and 2,284.04

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Solution

The fourth proportional to 7,832.00, 11,746.74 and 2,284.04 is: 3,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.00 : 11,746.74 = 2,284.04 : x
  2. Step 2: Convert to fraction form
    7,832.00/11,746.74 = 2,284.04/x
  3. Step 3: Cross multiply
    7,832.00x = 11,746.74 × 2,284.04
  4. Step 4: Simplify right side
    7,832.00x = 26,830,053.40
  5. Step 5: Solve for x
    x = 26,830,053.40/7,832.00
  6. Step 6: Final answer
    x = 3,425.70

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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.