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Finding the Fourth Proportional to 8,822.84, 13,235.47 and 3,275.71

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Solution

The fourth proportional to 8,822.84, 13,235.47 and 3,275.71 is: 4,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.84 : 13,235.47 = 3,275.71 : x
  2. Step 2: Convert to fraction form
    8,822.84/13,235.47 = 3,275.71/x
  3. Step 3: Cross multiply
    8,822.84x = 13,235.47 × 3,275.71
  4. Step 4: Simplify right side
    8,822.84x = 43,355,520.16
  5. Step 5: Solve for x
    x = 43,355,520.16/8,822.84
  6. Step 6: Final answer
    x = 4,914.01

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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.