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Finding the Fourth Proportional to 8,780.32, 13,156.64 and 3,226

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Solution

The fourth proportional to 8,780.32, 13,156.64 and 3,226 is: 4,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.32 : 13,156.64 = 3,226 : x
  2. Step 2: Convert to fraction form
    8,780.32/13,156.64 = 3,226/x
  3. Step 3: Cross multiply
    8,780.32x = 13,156.64 × 3,226
  4. Step 4: Simplify right side
    8,780.32x = 42,443,320.64
  5. Step 5: Solve for x
    x = 42,443,320.64/8,780.32
  6. Step 6: Final answer
    x = 4,833.92

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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.