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Finding the Fourth Proportional to 8,315.84, 11,475.60 and 4,778.98

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Solution

The fourth proportional to 8,315.84, 11,475.60 and 4,778.98 is: 6,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.84 : 11,475.60 = 4,778.98 : x
  2. Step 2: Convert to fraction form
    8,315.84/11,475.60 = 4,778.98/x
  3. Step 3: Cross multiply
    8,315.84x = 11,475.60 × 4,778.98
  4. Step 4: Simplify right side
    8,315.84x = 54,841,662.89
  5. Step 5: Solve for x
    x = 54,841,662.89/8,315.84
  6. Step 6: Final answer
    x = 6,594.84

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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.