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Finding the Fourth Proportional to 8,315.94, 11,478.30 and 4,780.28

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Solution

The fourth proportional to 8,315.94, 11,478.30 and 4,780.28 is: 6,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.94 : 11,478.30 = 4,780.28 : x
  2. Step 2: Convert to fraction form
    8,315.94/11,478.30 = 4,780.28/x
  3. Step 3: Cross multiply
    8,315.94x = 11,478.30 × 4,780.28
  4. Step 4: Simplify right side
    8,315.94x = 54,869,487.92
  5. Step 5: Solve for x
    x = 54,869,487.92/8,315.94
  6. Step 6: Final answer
    x = 6,598.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.