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Finding the Fourth Proportional to 8,569.80, 12,822.30 and 5,653.80

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Solution

The fourth proportional to 8,569.80, 12,822.30 and 5,653.80 is: 8,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.80 : 12,822.30 = 5,653.80 : x
  2. Step 2: Convert to fraction form
    8,569.80/12,822.30 = 5,653.80/x
  3. Step 3: Cross multiply
    8,569.80x = 12,822.30 × 5,653.80
  4. Step 4: Simplify right side
    8,569.80x = 72,494,719.74
  5. Step 5: Solve for x
    x = 72,494,719.74/8,569.80
  6. Step 6: Final answer
    x = 8,459.32

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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.