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Finding the Fourth Proportional to 8,001.86, 11,041.91 and 4,465.00

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Solution

The fourth proportional to 8,001.86, 11,041.91 and 4,465.00 is: 6,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.86 : 11,041.91 = 4,465.00 : x
  2. Step 2: Convert to fraction form
    8,001.86/11,041.91 = 4,465.00/x
  3. Step 3: Cross multiply
    8,001.86x = 11,041.91 × 4,465.00
  4. Step 4: Simplify right side
    8,001.86x = 49,302,074.26
  5. Step 5: Solve for x
    x = 49,302,074.26/8,001.86
  6. Step 6: Final answer
    x = 6,161.33

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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.