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Finding the Fourth Proportional to 8,698.83, 13,031.45 and 5,191.64

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Solution

The fourth proportional to 8,698.83, 13,031.45 and 5,191.64 is: 7,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.83 : 13,031.45 = 5,191.64 : x
  2. Step 2: Convert to fraction form
    8,698.83/13,031.45 = 5,191.64/x
  3. Step 3: Cross multiply
    8,698.83x = 13,031.45 × 5,191.64
  4. Step 4: Simplify right side
    8,698.83x = 67,654,518.94
  5. Step 5: Solve for x
    x = 67,654,518.94/8,698.83
  6. Step 6: Final answer
    x = 7,777.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.