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Finding the Fourth Proportional to 8,884.91, 13,323.03 and 5,188.34

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Solution

The fourth proportional to 8,884.91, 13,323.03 and 5,188.34 is: 7,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.91 : 13,323.03 = 5,188.34 : x
  2. Step 2: Convert to fraction form
    8,884.91/13,323.03 = 5,188.34/x
  3. Step 3: Cross multiply
    8,884.91x = 13,323.03 × 5,188.34
  4. Step 4: Simplify right side
    8,884.91x = 69,124,342.86
  5. Step 5: Solve for x
    x = 69,124,342.86/8,884.91
  6. Step 6: Final answer
    x = 7,779.98

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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.