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Finding the Fourth Proportional to 13,064.86, 19,597.30 and 5,271.86

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Solution

The fourth proportional to 13,064.86, 19,597.30 and 5,271.86 is: 7,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.86 : 19,597.30 = 5,271.86 : x
  2. Step 2: Convert to fraction form
    13,064.86/19,597.30 = 5,271.86/x
  3. Step 3: Cross multiply
    13,064.86x = 19,597.30 × 5,271.86
  4. Step 4: Simplify right side
    13,064.86x = 103,314,221.98
  5. Step 5: Solve for x
    x = 103,314,221.98/13,064.86
  6. Step 6: Final answer
    x = 7,907.79

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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.