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Finding the Fourth Proportional to 8,348.16, 12,525.76 and 4,192

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Solution

The fourth proportional to 8,348.16, 12,525.76 and 4,192 is: 6,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.16 : 12,525.76 = 4,192 : x
  2. Step 2: Convert to fraction form
    8,348.16/12,525.76 = 4,192/x
  3. Step 3: Cross multiply
    8,348.16x = 12,525.76 × 4,192
  4. Step 4: Simplify right side
    8,348.16x = 52,507,985.92
  5. Step 5: Solve for x
    x = 52,507,985.92/8,348.16
  6. Step 6: Final answer
    x = 6,289.77

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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.