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Finding the Fourth Proportional to 8,567.84, 12,837.72 and 5,483.36

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Solution

The fourth proportional to 8,567.84, 12,837.72 and 5,483.36 is: 8,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.84 : 12,837.72 = 5,483.36 : x
  2. Step 2: Convert to fraction form
    8,567.84/12,837.72 = 5,483.36/x
  3. Step 3: Cross multiply
    8,567.84x = 12,837.72 × 5,483.36
  4. Step 4: Simplify right side
    8,567.84x = 70,393,840.34
  5. Step 5: Solve for x
    x = 70,393,840.34/8,567.84
  6. Step 6: Final answer
    x = 8,216.05

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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.