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Finding the Fourth Proportional to 8,804.08, 13,204 and 2,562.40

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Solution

The fourth proportional to 8,804.08, 13,204 and 2,562.40 is: 3,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,804.08 : 13,204 = 2,562.40 : x
  2. Step 2: Convert to fraction form
    8,804.08/13,204 = 2,562.40/x
  3. Step 3: Cross multiply
    8,804.08x = 13,204 × 2,562.40
  4. Step 4: Simplify right side
    8,804.08x = 33,833,929.60
  5. Step 5: Solve for x
    x = 33,833,929.60/8,804.08
  6. Step 6: Final answer
    x = 3,842.98

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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.