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Finding the Fourth Proportional to 7,563, 11,346.80 and 3,867.83

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Solution

The fourth proportional to 7,563, 11,346.80 and 3,867.83 is: 5,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563 : 11,346.80 = 3,867.83 : x
  2. Step 2: Convert to fraction form
    7,563/11,346.80 = 3,867.83/x
  3. Step 3: Cross multiply
    7,563x = 11,346.80 × 3,867.83
  4. Step 4: Simplify right side
    7,563x = 43,887,417.37
  5. Step 5: Solve for x
    x = 43,887,417.37/7,563
  6. Step 6: Final answer
    x = 5,802.91

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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.