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Finding the Fourth Proportional to 8,314.71, 11,475.32 and 4,777.92

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Solution

The fourth proportional to 8,314.71, 11,475.32 and 4,777.92 is: 6,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.71 : 11,475.32 = 4,777.92 : x
  2. Step 2: Convert to fraction form
    8,314.71/11,475.32 = 4,777.92/x
  3. Step 3: Cross multiply
    8,314.71x = 11,475.32 × 4,777.92
  4. Step 4: Simplify right side
    8,314.71x = 54,828,137.04
  5. Step 5: Solve for x
    x = 54,828,137.04/8,314.71
  6. Step 6: Final answer
    x = 6,594.11

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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.