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Finding the Fourth Proportional to 7,897.99, 11,854.15 and 4,203.33

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Solution

The fourth proportional to 7,897.99, 11,854.15 and 4,203.33 is: 6,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.99 : 11,854.15 = 4,203.33 : x
  2. Step 2: Convert to fraction form
    7,897.99/11,854.15 = 4,203.33/x
  3. Step 3: Cross multiply
    7,897.99x = 11,854.15 × 4,203.33
  4. Step 4: Simplify right side
    7,897.99x = 49,826,904.32
  5. Step 5: Solve for x
    x = 49,826,904.32/7,897.99
  6. Step 6: Final answer
    x = 6,308.81

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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.