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Finding the Fourth Proportional to 8,315.76, 11,477.39 and 4,956.90

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Solution

The fourth proportional to 8,315.76, 11,477.39 and 4,956.90 is: 6,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.76 : 11,477.39 = 4,956.90 : x
  2. Step 2: Convert to fraction form
    8,315.76/11,477.39 = 4,956.90/x
  3. Step 3: Cross multiply
    8,315.76x = 11,477.39 × 4,956.90
  4. Step 4: Simplify right side
    8,315.76x = 56,892,274.49
  5. Step 5: Solve for x
    x = 56,892,274.49/8,315.76
  6. Step 6: Final answer
    x = 6,841.50

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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.