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Finding the Fourth Proportional to 8,153.96, 12,203.14 and 5,655.99

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Solution

The fourth proportional to 8,153.96, 12,203.14 and 5,655.99 is: 8,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.96 : 12,203.14 = 5,655.99 : x
  2. Step 2: Convert to fraction form
    8,153.96/12,203.14 = 5,655.99/x
  3. Step 3: Cross multiply
    8,153.96x = 12,203.14 × 5,655.99
  4. Step 4: Simplify right side
    8,153.96x = 69,020,837.81
  5. Step 5: Solve for x
    x = 69,020,837.81/8,153.96
  6. Step 6: Final answer
    x = 8,464.70

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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.