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Finding the Fourth Proportional to 8,313.84, 11,474.58 and 4,956.87

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Solution

The fourth proportional to 8,313.84, 11,474.58 and 4,956.87 is: 6,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.84 : 11,474.58 = 4,956.87 : x
  2. Step 2: Convert to fraction form
    8,313.84/11,474.58 = 4,956.87/x
  3. Step 3: Cross multiply
    8,313.84x = 11,474.58 × 4,956.87
  4. Step 4: Simplify right side
    8,313.84x = 56,878,001.36
  5. Step 5: Solve for x
    x = 56,878,001.36/8,313.84
  6. Step 6: Final answer
    x = 6,841.36

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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.