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Finding the Fourth Proportional to 8,400.32, 12,595.08 and 3,203.36

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Solution

The fourth proportional to 8,400.32, 12,595.08 and 3,203.36 is: 4,802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.32 : 12,595.08 = 3,203.36 : x
  2. Step 2: Convert to fraction form
    8,400.32/12,595.08 = 3,203.36/x
  3. Step 3: Cross multiply
    8,400.32x = 12,595.08 × 3,203.36
  4. Step 4: Simplify right side
    8,400.32x = 40,346,575.47
  5. Step 5: Solve for x
    x = 40,346,575.47/8,400.32
  6. Step 6: Final answer
    x = 4,802.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.