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Finding the Fourth Proportional to 8,563.68, 12,858.48 and 7,596

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Solution

The fourth proportional to 8,563.68, 12,858.48 and 7,596 is: 11,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.68 : 12,858.48 = 7,596 : x
  2. Step 2: Convert to fraction form
    8,563.68/12,858.48 = 7,596/x
  3. Step 3: Cross multiply
    8,563.68x = 12,858.48 × 7,596
  4. Step 4: Simplify right side
    8,563.68x = 97,673,014.08
  5. Step 5: Solve for x
    x = 97,673,014.08/8,563.68
  6. Step 6: Final answer
    x = 11,405.50

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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.