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Finding the Fourth Proportional to 8,498.84, 12,756.37 and 5,218.34

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Solution

The fourth proportional to 8,498.84, 12,756.37 and 5,218.34 is: 7,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.84 : 12,756.37 = 5,218.34 : x
  2. Step 2: Convert to fraction form
    8,498.84/12,756.37 = 5,218.34/x
  3. Step 3: Cross multiply
    8,498.84x = 12,756.37 × 5,218.34
  4. Step 4: Simplify right side
    8,498.84x = 66,567,075.83
  5. Step 5: Solve for x
    x = 66,567,075.83/8,498.84
  6. Step 6: Final answer
    x = 7,832.49

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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.